Question 5. Let S be a subbase for a topology r on X and let A be asubset of X. Show that the class S,-{Ans:Ses) is a subbase for therelative topologyT, on A.Question 6. In a topological space (X.r) a subset Bof X is called ay-open subset of X if BC(B)u(B). The family of all y-open subsetsof X is denoted by 0(X). Show that 0(X) is closed under arbitraryunion.

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Question 5. Let S be a subbase for a topology r on X and let A be a subset of X. Show that the class S, = {Ans:SeS} is a subbase for the relative topology r, on A.

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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