Let (x,c) be a topologıcal space. Property C=P.C: A subset A of X has P.C if it's subset of the union of two disjoint nonempty open subsets of X then A is contained in only one of these open sets. Prove the following: If A and B hare P.C and Ã∩B=Ø, then AUB has property C
Let (x,c) be a topologıcal space. Property C=P.C: A subset A of X has P.C if it's subset of the union of two disjoint nonempty open subsets of X then A is contained in only one of these open sets. Prove the following: If A and B hare P.C and Ã∩B=Ø, then AUB has property C
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let (x,c) be a topologıcal space. Property C=P.C: A subset A of X has P.C if it's subset of the union of two disjoint nonempty open subsets of X then A is contained in only one of these open sets. Prove the following: If A and B hare P.C and Ã∩B=Ø, then AUB has property C
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