пїЅ 8 пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ

пїЅпїЅпїЅпїЅпїЅ B=(X,P,B) - пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ,пїЅ пїЅÎX, aÎP. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ

B(A,a)=È_aÎA B(a,a),пїЅ Int (A,a)={xÎX: B*(x,a)ÍA}.

ПіпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ A пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ aÎP, пїЅпїЅпїЅпїЅ пїЅпїЅ X=B(A,a).

ПіпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ A пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X\B(A,a) пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ-пїЅпїЅпїЅпїЅпїЅ aÎP.

ПіпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ A пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ Int(A,a) пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ-пїЅпїЅпїЅпїЅпїЅ aÎP.

ПіпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ A пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ bÎP, пїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ Int(B(A,b),a) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ-пїЅпїЅпїЅпїЅпїЅ aÎP.

пїЅпїЅпїЅпїЅ 8.1. пїЅпїЅпїЅпїЅпїЅ B=(X,P,B) - пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ,пїЅ пїЅÎX, aÎP. пїЅпїЅпїЅпїЅ Int (X\A,a)=X\ B(A,a).

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅ xÎInt(X\A,a). пїЅпїЅпїЅпїЅ B*(x,a)ÇA=ÆпїЅ пїЅ xÏB(a,a) пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ-пїЅпїЅпїЅпїЅпїЅ aÎA. пїЅпїЅпїЅпїЅ, xÎ X\B(A,a).

пїЅпїЅпїЅпїЅпїЅпїЅ xÎ X\B(A,a). пїЅпїЅпїЅпїЅ xÏB(a,a)пїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎA. пїЅпїЅпїЅпїЅ, aÏB*(x,a) пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎA, пїЅB*(x,a)ÍX\AпїЅ пїЅпїЅ xÎInt(X\A,a).

пїЅпїЅпїЅпїЅ 8.2. пїЅпїЅпїЅпїЅ B=(X,P,B) - пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(A,a) пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎP, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ A пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ bÎP пїЅпїЅпїЅпїЅ, пїЅпїЅ B(B(A,a),b)=X. пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ g(a,b)ÎP, пїЅпїЅпїЅпїЅ пїЅпїЅ B(B(A,a),b)Í B(A,g(a,b)). пїЅпїЅпїЅпїЅ, B(A,g(a,b))=X.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 8.1. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B=(X,P,B) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ SÍX пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ 1, 2, 3 пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅ пїЅ B пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ

1. S пїЅпїЅпїЅпїЅ;

2. S пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ;

3. X\S пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ;

4. (X\S)Ç L пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ LÍX.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. 1Þ2. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎP пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ b(a)ÎP пїЅпїЅпїЅ, пїЅпїЅ B(X\B(S,a), b(a))=X. ВіпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ yÎX\B(S,a), пїЅпїЅпїЅпїЅпїЅ пїЅпїЅ xÎB(y,b(a)). пїЅпїЅпїЅ yÎB*(x,b(a)) пїЅпїЅ B*(x,b(a)) Ç (X\B(S,a) ¹ Æ. пїЅпїЅпїЅпїЅ, Int(B(S,a),b(a))=Æ пїЅпїЅ S пїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

2Þ3. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎP пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ b(a)ÎP, пїЅпїЅпїЅпїЅ пїЅпїЅ Int(B(S,a),b(a))=Æ. пїЅпїЅпїЅ B*(x,b(a)) Ç (X\B(S,a) ¹ Æ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX. пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ 8.1

B*(x, b(a)) Ç Int(X \ S,a) ¹ Æ

пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎX. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, X=B(Int(X\S,a), b(a)) пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X\S пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ 3Þ1. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎP пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ b(a)ÎP пїЅпїЅпїЅ, пїЅпїЅ B(Int(X\S,a), b(a))=X. пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ 8.1 B(X\B(S,a), b(a))=X. пїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ S пїЅпїЅпїЅпїЅ.

3Þ4. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ Y=X\S пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ L. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎP пїЅпїЅпїЅ, пїЅпїЅ X=B(L,a). пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎInt(Y,a) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ y(x)ÎL, пїЅпїЅпїЅпїЅпїЅ пїЅпїЅ xÎB(y(x),a), пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, y(x)ÎB*(x,a). пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ Y'={y(x): xÎInt(Y\a)} пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ Y'ÍYÇL. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ Int(Y\a)Í B(Y',a)пїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ Int(Y\a) пїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ B(Y',a) пїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ 8.2 Y' пїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ Y'ÍYÇL, пїЅпїЅ YÇL пїЅпїЅпїЅпїЅпїЅпїЅ.

4Þ3. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ Y=X\S. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ YÇX=Y пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X пїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ Y пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎP пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ Int(Y\a) пїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ xÎY\Int(Y,a) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ y(x)ÎB*(x,a)\Y. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ Y'={y(x): xÎY\Int(Y,a)}, L=Y'ÈInt(Y,a). пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ YÍ B(L,a). пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ Y пїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(L,a) пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ 8.2 пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ L пїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ YÇL пїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ YÇL=Int(Y\a), пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ Int(Y,a) пїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 8.2. пїЅпїЅпїЅпїЅпїЅ B=(X,P,B)- пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X₁, X₂, пїЅ, X_n пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X₁Ç X₂Ç пїЅÇX_nпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X₁, X₂, пїЅ, X_n пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X пїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X₁È X₂È пїЅÈX_nпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ A пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ A=A₁ÈA₂ÈпїЅÈA_n, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ A_i пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. ВіпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ L пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X. пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ 3Þ4 пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 8.1 пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X_nÇL пїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ (X₁Ç X₂Ç пїЅÇX_n)ÇL=(X₁Ç X₂Ç пїЅÇX_n-1)Ç(X_nÇL), пїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ (X₁Ç X₂Ç пїЅÇX_n)ÇL пїЅпїЅпїЅпїЅпїЅпїЅ. пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ 3Þ4 пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X₁Ç X₂Ç пїЅÇX_n пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ 1Þ3 пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 8.1. пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ 1Þ2 пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 8.1.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. СіпїЅ'пїЅ Á пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ

(пїЅ) ÆÏÁ, XÎÁ;

(пїЅпїЅ) пїЅпїЅпїЅпїЅ FÎÁ пїЅ F ÍF' , пїЅпїЅ F'ÎÁ ;

(пїЅпїЅпїЅ) пїЅпїЅпїЅпїЅ F₁,F₂,пїЅ, F_nÎÁ , пїЅпїЅ F₁ÇF₂ÇпїЅÇF_nÎÁ .

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. ФіпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ: пїЅпїЅпїЅпїЅпїЅпїЅ Á пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ AÍX пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ AÎÁ, X\AÎÁ.

пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B=(X,P,B) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ j(B) пїЅпїЅ'пїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X. пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 8.2 пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ j(B) - пїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 8.3. пїЅпїЅпїЅпїЅпїЅ B=(X,P,B) - пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, y - пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ X, пїЅпїЅпїЅ j(B)Íy пїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ AÎy пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ j(B)ÍyпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ AÎy. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ A пїЅпїЅ пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ 1Û2 пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 8.1 пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅпїЅ. пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ 1Û3 пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 8.1 пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X\пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅ, X\пїЅ Îj(B) пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ AÎy пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅ j(B)Ëy . ВіпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ YÎj(B), YÏy. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ y - пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, X\AÎy. пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ 1Û3 пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 8.1 пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ X\YпїЅ пїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ 1Û2 пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 8.1.

пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B=(X,P,B) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ'пїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X. ПіпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ AÍX пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ AÇL¹Æ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ L. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ w-пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ X пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ - пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 8.4. пїЅпїЅпїЅпїЅпїЅ B=(X,P,B) - пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ <a_n>_nÎw пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ P пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ <x_n>_nÎwпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X, пїЅпїЅпїЅ пїЅпїЅ пїЅпїЅ'пїЅ пїЅпїЅпїЅпїЅ {B*(x_n,a_n): nÎw} пїЅпїЅпїЅ'пїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B w-пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅ'пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ w пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ w=È_kÎwW_k. пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ A_k=B*(x_n, a_n) пїЅ -пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ kÎw. ВіпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ LÍX пїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ aÎP пїЅпїЅпїЅ, пїЅпїЅ X=B(L,a) . пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ nÎW_k, пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅ a_n >a. пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X=B(L,a_n), пїЅпїЅ x_n ÎB(L,a_n) пїЅ B*(x_n,a_n)ÇL¹Æ. пїЅпїЅпїЅпїЅ, LÇA_k¹Æ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅ 8.5. пїЅпїЅпїЅпїЅпїЅ B=(X,P,B) - пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅ пїЅпїЅпїЅ B(x,a), B*(x,a) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅ xÎX, aÎP. пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ <a_n>_nÎw пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ P, пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B w-пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ.

пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅ пїЅпїЅпїЅпїЅ, пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ 8.4 пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ <x_n>_nÎw пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ X, пїЅпїЅпїЅ пїЅпїЅпїЅ пїЅпїЅ'пїЅ пїЅпїЅпїЅпїЅ {B*(x_n,a_n): nÎw } пїЅпїЅпїЅ'пїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ x₀ÎX. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ x₀, x₁, пїЅ, x_n пїЅпїЅпїЅ, пїЅпїЅ пїЅпїЅпїЅ B*(x₀,a₀), B*(x₁,a₁), пїЅ, B*(x_n,a_n) пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ Y= B*(x₀,a₀)È B*(x₁,a₁)È пїЅÈ B*(x_n,a_n). пїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ B(Y,a_n+1) пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ. пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅпїЅ пїЅпїЅпїЅпїЅпїЅпїЅпїЅ x_n+1ÎX\B(Y,a_n+1). пїЅпїЅпїЅ B*(x_n+1,a_n+1)ÇY=Æ.