пїЅ 7 пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ B=(X,P,B), пїЅпїЅ X,P пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅ пїЅпїЅпїЅ xÎX, aÎP, B(x,a) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ a пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅ x. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅ xÎB(x,a) пїЅпїЅпїЅ пїЅпїЅпїЅ xÎX, aÎP.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B₁=(X₁,P₁,B₁) пїЅ B₂=(X₂,P₂,B₂). ВіпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ f:X₁пїЅX₂ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ bÎP₂ пїЅпїЅпїЅпїЅ aÎP₁, пїЅпїЅпїЅпїЅ пїЅпїЅ

B₂(f(x),b) Í f(B₁(x,a))

пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX₁. пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X₁ пїЅпїЅ X₂, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B₁B₂.

ВіпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ f: X₁ пїЅ X₂ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎP₁ пїЅпїЅпїЅпїЅпїЅ bÎP₂ , пїЅпїЅпїЅпїЅ пїЅпїЅ

f(B₁(x,a))ÍB₂(f(x),b)

пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX₁. пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅ'пїЅпїЅпїЅпїЅпїЅпїЅпїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X₁ пїЅ X₂, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B₁B₂.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ f:X₁пїЅX₂ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B₁, B₂, пїЅпїЅпїЅпїЅ f пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ - пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ B₁, B₂ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅ X₁ = X₂ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ f:X₁пїЅX₂ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B₁пїЅ пїЅ B₂, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B₁, B₂пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ P пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ P, пїЅпїЅпїЅ пїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 7.1. пїЅпїЅпїЅпїЅпїЅ (X,d) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ, R⁺={xÎR: x³0}. пїЅпїЅпїЅ пїЅпїЅпїЅ xÎX, rÎR⁺ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ

B_d(x,r) = {yÎX: d(x,y)£ r}.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ (X, R⁺, B_d) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(x,d).

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 7.2. пїЅпїЅпїЅпїЅпїЅ Gr(V,E) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ. пїЅпїЅпїЅ пїЅпїЅпїЅ xÎX, rÎR⁺ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ

B(x,r) = {yÎV: d(x,y)£ r}.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ (V, R⁺, B) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(Gr).

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ B пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(X,d) пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ (X,d). пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ B пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(Gr) пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ Gr.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅ пїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B=(X,P,B) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ-пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ x,yÎX пїЅпїЅпїЅпїЅ aÎP, пїЅпїЅпїЅпїЅ пїЅпїЅ yÎB(x,a), xÎB(y,a).

пїЅпїЅпїЅпїЅ 7.1. пїЅпїЅпїЅпїЅпїЅ B₁=(X₁,P₁,B₁), B₂=(X₂,P₂,B₂) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, f пїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X_1пїЅ пїЅпїЅ X₂. пїЅпїЅпїЅпїЅ B₁ пїЅпїЅ'пїЅпїЅпїЅпїЅ, пїЅпїЅ B₂ пїЅпїЅпїЅ пїЅпїЅ'пїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ y,zÎX₁ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎP₁ пїЅпїЅпїЅпїЅ, пїЅпїЅ yÎB₁(z,a), zÎB₁(y,a). пїЅпїЅпїЅпїЅпїЅпїЅпїЅ f пїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅ bÎP₂, пїЅпїЅпїЅпїЅ пїЅпїЅ f(B₁(x,a))ÍB₂(f(x),b) пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX₁. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, f(y) Î B₂(f(z),b), f(z) Î B₂(f(y),b). пїЅпїЅпїЅпїЅпїЅпїЅпїЅ f(X₁)=X₂ , пїЅпїЅ B₂ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅ 7.2. пїЅпїЅпїЅпїЅпїЅ B₁=(X₁,P₁,B₁), B₂=(X₂,P₂,B₂) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, f пїЅпїЅ пїЅпїЅ'пїЅпїЅпїЅпїЅпїЅпїЅпїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X₁ пїЅ X₂. пїЅпїЅпїЅпїЅ B_1пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ B₂ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ y,zÎX₁ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ bÎP₂ пїЅпїЅпїЅ, пїЅпїЅ f(y) Î B₂(f(z),b), f(z) Î B₂(f(y),b). пїЅпїЅпїЅпїЅпїЅпїЅпїЅ f пїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅ aÎP₁, пїЅпїЅпїЅпїЅ пїЅпїЅ B₂(f(x),b)Íf(B₁(x,a)) пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX₁. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ f пїЅпїЅ'пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ yÎB₁(z,a), zÎB₁(y,a). пїЅпїЅпїЅпїЅ, B_2пїЅ пїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅ B=(X,P,B) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅ пїЅпїЅпїЅ xÎX, aÎP пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ

B^*(x,a)={yÎX: xÎB(y,a)}.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B^*=(X,P,B^*) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ B^**=B.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B=(X,P,B)пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B, B^* пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅ, B пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎP пїЅпїЅпїЅпїЅ bÎP, пїЅпїЅпїЅпїЅ пїЅпїЅ B(x,a)Í B^*(x,b), пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎPпїЅ пїЅпїЅпїЅпїЅ bÎP, пїЅпїЅпїЅпїЅ пїЅпїЅ B^*(x,a)Í B(x,b).

пїЅпїЅпїЅпїЅ 7.3. пїЅпїЅпїЅпїЅпїЅ B₁=(X₁,P₁,B₁), B₂=(X₂,P₂,B₂) - пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, f:X₁пїЅX₂. пїЅпїЅпїЅпїЅ f - пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B₁ пїЅ B₂ пїЅпїЅ f -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B^*_{1 пїЅпїЅ}пїЅ B^*₂ . пїЅпїЅпїЅпїЅ f пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B₁ пїЅпїЅ B₂, пїЅпїЅ f пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B^*₁ пїЅпїЅ B^*₂ .

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅ f пїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B₁ пїЅ B₂, aÎP₁. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ bÎP₂ пїЅпїЅпїЅ, пїЅпїЅ f(B₁(x,a))ÍB₂(f(x),b)пїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎP₁. ВіпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ yÎB^*₁(x,a). пїЅпїЅпїЅ xÎB₁(y,a) пїЅ f(x)ÎB₂(f(y),b). пїЅпїЅпїЅпїЅ, f(y)ÎB^*₂(f(x),b) пїЅ f(B^*₁(x,a))ÍB^*₂(f(x),b). пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ f пїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B^*_{1 пїЅпїЅ}пїЅ B^*₂.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ f пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B₁ пїЅпїЅ B₂. пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ, f пїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B^*_{1 пїЅпїЅ}пїЅ B^*₂. , пїЅ f^-1 пїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B^*_2пїЅ пїЅ B^*₁ . пїЅпїЅпїЅпїЅ, f^-1 пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B^*₁ пїЅпїЅ B^*₂ .

пїЅпїЅпїЅпїЅ 7.4. пїЅпїЅпїЅпїЅпїЅ B₁=(X₁,P₁,B₁), B₂=(X₂,P₂,B₂) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅ B₁ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ B₂ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ f₁ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B₁ пїЅ B₂. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ i₁: X₁пїЅX₁, i₂: X₂пїЅX₂ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ,пїЅ f ^-1 - пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B_2пїЅ пїЅ B₁ . пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ 7.3 f пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B^*₁ пїЅпїЅ B^*₂ . пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ i₁ - пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B₁ пїЅ B^*₁. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ i₂=f i₁ f ^-1 , пїЅпїЅ i₂ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B₂ пїЅ B^*₂ .

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B=(X,P,B) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ-пїЅпїЅпїЅпїЅ a ,b ÎPпїЅ пїЅпїЅпїЅпїЅ g (a,b)ÎP, пїЅпїЅпїЅпїЅ пїЅпїЅ

B(B(x,a),b )Í B(x,g (a,b))

пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX. пїЅпїЅпїЅпїЅпїЅ B(A,a), AÍX, aÎP пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ .

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ 7.5. пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B=(X,P,B)пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ B^* пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ a,bÎP пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ g (a,b) пїЅпїЅпїЅ, пїЅпїЅ B(B(x,a),b)ÍB(x,g (a,b)). ВіпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ zÎB^*(B^*(x,a),b) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ yÎB^*(x,a) пїЅпїЅпїЅпїЅпїЅ пїЅпїЅ zÎB^*(y,b). пїЅпїЅпїЅ xÎB(y,a), yÎB(z,b). пїЅпїЅпїЅпїЅ, xÎB(B(z,b),a). пїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(B(z,b),a)ÍB(z,g(b,a)), пїЅпїЅ xÎB(z,g(b,a)). пїЅпїЅпїЅпїЅ, B^*(B^*(x,a),b )Í B^*(x,g (b,a)) пїЅ B^* пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ 7.6. пїЅпїЅпїЅпїЅпїЅ B₁=(X₁,P₁,B₁), B₂=(X₂,P₂,B₂) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅ B₁ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ B₂ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ f: X₁пїЅX₁пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B₁ пїЅ B₂. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ b₁, b₂ ÎP₂. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ f пїЅ бієпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅ b ÎP₂, пїЅпїЅпїЅпїЅ пїЅпїЅ

B₂(B₂(f(x),b₁),b ₂)Í B₂(f(x,b))

пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX₁.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ f пїЅпїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ a₁,a₂ÎP₁, пїЅпїЅпїЅ пїЅпїЅ

B₂(f(x),b₁)Í f (B₁(x,a₁),пїЅпїЅпїЅ B₂(f(x),b ₂)Í f(B₁(x,b₂))

пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX₁.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ B₁ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅ aÎP₁, пїЅпїЅпїЅпїЅ пїЅпїЅ B₁(B₁(x,a₁),a₂ )Í B₁(x,a) пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX₁.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ f пїЅпїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅ b ÎP₂, пїЅпїЅпїЅпїЅ пїЅпїЅ f(B₁(x,a)) ÍB₂(f(x),b ) пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX₁.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX₁ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ f(z)ÎB₂(B₂(f(x),b₁),b₂). пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ f(y)ÎB₂(f(x),b₁) пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ f(z)Î B₂(f(y),b₂). пїЅпїЅпїЅ

yÎ B₁(x,a₁),пїЅпїЅ zÎ B₁(y,a₂),пїЅпїЅ zÎ B₁(B₁(x,a₁),a₂).

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ, zÎ B₁(x,a) пїЅ f(z)Î B₂(f(x),b).

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ £ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X пїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ x£ x пїЅ пїЅ x£ y, y£ zпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ x£ z .

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B=(X,P,B) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ £ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ P пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ a£b пїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ B(x,a)Í B(x,b) пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX. ПіпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ P'ÍP пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ a Î P пїЅпїЅпїЅпїЅ bÎ P', пїЅпїЅпїЅпїЅ пїЅпїЅ a£b. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ cf B пїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ P.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B=(X,P,B) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ-пїЅпїЅпїЅпїЅ a, b ÎP пїЅпїЅпїЅпїЅ gÎP пїЅпїЅпїЅпїЅ пїЅпїЅ g³a, g³b . пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ £À₀ пїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ P пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ <a_n>_nÎw, пїЅпїЅпїЅпїЅ пїЅпїЅ a₀£a₁£пїЅ£a_n £пїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ 7.7. пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B₁=(X₁,P₁,B₁), B₂=(X₂,P₂,B₂) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ cf B₁=cf B₂.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ f: X₁пїЅX₁ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B₁ пїЅ B₂. ВіпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ P₁ÍP. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ f пїЅ пїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ h₁: P₂пїЅP'₁ , пїЅпїЅпїЅпїЅ пїЅпїЅ

B₂(f(x),b)Í f (B₁(x,h₁(b))

пїЅпїЅпїЅ пїЅпїЅпїЅ xÎX₁, b ÎP₂. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ f пїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ h₂: P'₁пїЅ P₂, пїЅпїЅпїЅпїЅ пїЅпїЅ

f (B₁(x,a)ÍB₂(f(x),h₂(a))

пїЅпїЅпїЅ пїЅпїЅпїЅ xÎX₁, a ÎP'₁. пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ h₁, h₂ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ h₂ (P'₁) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ P'₂. пїЅпїЅпїЅпїЅ, cf B₂ £ cf B_1.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 7.1. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B=(X,P,B) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ B пїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ

cf B£ À₀.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ B пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B=(X,a) пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ (X,d). пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ B(X,d) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ cf B£À₀. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ 1,4,6,7, пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ B пїЅпїЅ пїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ B пїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ B£ À₀. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ P пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ <a_n>_nÎw. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ b₀=a₀ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ b₁ÎP _пїЅпїЅпїЅпїЅ, пїЅпїЅпїЅ

b₁³a₁,пїЅ b₁³ b₀,пїЅ b₁³ g(b₀, b₀)

пїЅпїЅ g пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ b₀, b₁,пїЅ, b_n. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ b_n+1ÎP пїЅпїЅпїЅ, пїЅпїЅ

b_n+1³a_n+1 , b_n+1³b_n, b_n+1³g(b_i, b_j)

пїЅпїЅпїЅ пїЅпїЅпїЅ i,jÎ{0, 1, пїЅ, n}. пїЅпїЅпїЅ <b_n>_nÎw пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ P пїЅ

B(B(x,b_n),b _m)Í B(x,b_n+m)

пїЅпїЅпїЅ пїЅпїЅпїЅ xÎX, n,mÎN.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ d: X´X пїЅwпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ: d(x,x)=0пїЅ пїЅ

d(x,y)=min {nÎ N: yÎB(x,b_n) , xÎ B(y,b_n)}

пїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ x,yÎX. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ <b_n>_nÎw пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ P пїЅ B пїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ d пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ, пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅ, пїЅпїЅ d пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅ x, y, z пїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X, d(x,y)=n, d(y,z)=m. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, yÎB(z,b_m) , xÎ B(y,b_n) пїЅпїЅ xÎ B(B(z,b_m),b _n)Í B(z,b_n+m). пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ d(x,z)£n+m.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(X,d) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ B_d(x,n)=B(x,b_n)Ç B*(x,b_n). пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ B пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B пїЅ B(X,d).

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ 7.1. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ (X,d), пїЅпїЅпїЅпїЅпїЅ пїЅпїЅ BB(X,d).

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ 7.2. пїЅпїЅпїЅпїЅпїЅ B=(X,P,B) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, cf B£À₀. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 7.1, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ d пїЅпїЅ X, пїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ: XпїЅX пїЅ - пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(X,d) пїЅпїЅ B.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ B=(X,P,B) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, aÎP. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ x₀, x₁, пїЅ, x_n пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ a-пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ n, пїЅпїЅпїЅпїЅ x_i-1ÎB(x_i,a), x_iÎB(x_i-1,a) пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ iÎ{1,2,пїЅ,n}. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ a пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ-пїЅпїЅпїЅпїЅпїЅ bÎP пїЅпїЅпїЅпїЅ m(b)Îw, пїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅ xÎB(y,b), yÎB(x,b) пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ a-пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ £m(b) пїЅпїЅ x пїЅ y. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ B(Gr) 1-пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ-пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ Gr.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B=(X,P,B) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ pпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ B a-пїЅпїЅ'пїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎP.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ 7.8. пїЅпїЅпїЅпїЅпїЅ B₁=(X₁,P₁,B₁), B₂=(X₂,P₂,B₂)пїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅ B_1пїЅ пїЅпїЅpпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ B₂ пїЅпїЅпїЅ _пїЅпїЅpпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅ f: X₁пїЅX₂пїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B₁ пїЅпїЅ B₂. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎP, пїЅпїЅпїЅ пїЅпїЅ B₁ a-пїЅпїЅ'пїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ m: P₁пїЅw. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ f пїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅ bÎP₂, пїЅпїЅпїЅпїЅ пїЅпїЅ

f(B₁(x,a))Í B₂(f(x),b)

пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX₁. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ f пїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ h: P₂пїЅP₁. , пїЅпїЅпїЅпїЅ пїЅпїЅ

B₂(f(x),l) Í f(B₁(x,h(l))

пїЅпїЅпїЅ пїЅпїЅпїЅ xÎX₁, lÎP_2.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ lÎP₂ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ f(x)ÎB₂(f(y),l), f(y)ÎB₂(f(x),l). пїЅпїЅпїЅпїЅпїЅпїЅпїЅ f-бієпїЅпїЅпїЅпїЅ, пїЅпїЅ xÎB₁(y,h(l), yÎB₁(x,h(l). пїЅпїЅпїЅпїЅпїЅпїЅпїЅ B₁ a-пїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅ a-пїЅпїЅпїЅпїЅ x=x₀, x₁,пїЅ,x_m=yпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ £mh(l). пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, f(x)=f(x₀),f(x₁), пїЅ, f(x_m) пїЅb-пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ £mh(l) пїЅпїЅ f(x) пїЅ f(y).

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 7.2. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ

(пїЅ) B пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ p-пїЅпїЅпїЅпїЅпїЅпїЅпїЅ;

(пїЅпїЅ) B пїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. (пїЅпїЅ) Þ (пїЅ). пїЅпїЅпїЅпїЅпїЅ Gr пїЅ пїЅпїЅ'пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(Gr) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ 8 пїЅпїЅпїЅпїЅ-пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(Gr) пїЅпїЅпїЅ p-пїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ (пїЅ) Þ (пїЅi). пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ p-пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ (X,d), пїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(X,d). пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ mÎw пїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ (X,d) m-пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ Gr(X,E) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ E, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ (x,y)ÎE пїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ x¹y пїЅ d(x,y)£ m. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(X,d) p-пїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅ Gr пїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ d' пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ Gr . пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ nÎw пїЅпїЅпїЅпїЅ m(n)Îw , пїЅпїЅпїЅпїЅ пїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅ d(x,y)£ n пїЅпїЅпїЅпїЅпїЅпїЅпїЅ d'(x,y)£ m(n). пїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ, пїЅ пїЅпїЅпїЅпїЅпїЅ d'(x,y)£ k пїЅпїЅпїЅпїЅпїЅпїЅпїЅ d(x,y)£ km. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(X,d)пїЅ пїЅпїЅ B(Gr).

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ 7.3. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ (X,d), пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(X,d) пїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 7.3. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ G пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ Fin_e(G) пїЅпїЅ'пїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ G, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ e пїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅ пїЅпїЅпїЅ xÎG, FÎFin_e(G)пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ

B_l(x,F)=Fx,пїЅпїЅ B_r(x,F)=xF.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ (G, Fin_e, B_l) пїЅ (G, Fin_e, B_r) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B_l (G) пїЅ B_r(G). пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ xпїЅ x^-1 пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ B_l (G)пїЅ пїЅ B_r(G) . пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ-пїЅпїЅпїЅ пїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(G). пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ B(G) пїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 7.3. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(G) пїЅпїЅпїЅпїЅпїЅ G пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ |G|£À₀.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 7.1.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 7.4. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ G пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ:

(пїЅ) пїЅпїЅпїЅпїЅпїЅ G пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ;

(пїЅпїЅ) пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(G) пїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. (пїЅ) Þ (пїЅi). пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ S пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ G. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅ Gr(G,E) пїЅпїЅпїЅпїЅпїЅ G, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ S È S^-1. пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ (x,y)ÎE пїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ x¹y пїЅ x=ty пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ tÎS È S_-1. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ G пїЅ G пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ B(G)пїЅ пїЅпїЅ B(Gr) .

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ (пїЅпїЅ) Þ (пїЅ). пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ 7.2 пїЅпїЅпїЅпїЅ FÎFin_e(G), пїЅпїЅпїЅпїЅ пїЅпїЅ B(G) пїЅ F-пїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ gÎG пїЅпїЅпїЅпїЅ F-пїЅпїЅпїЅпїЅ пїЅпїЅ e пїЅпїЅ g. пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ F пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ G.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ 7.1. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ Gr(V,E) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ'пїЅпїЅпїЅпїЅпїЅ пїЅпїЅ

пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ (Gr) = (V,w,) пїЅ (Gr) = (V,w,) пїЅпїЅ (Gr) (пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ (Gr)) - пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ yÎV, пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅ x пїЅпїЅ y (пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ y пїЅпїЅ x ) пїЅпїЅпїЅпїЅпїЅпїЅпїЅ £ m.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ 7.2. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ.