10. Let V be a subset of a metric space X. (a) Prove that V is open...

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10. Let V be a subset of a metric space X.

(a) Prove that V is open in X if and only if there is a collection of open balls

{Bo: : ex E A} such that V = U Bo:.

o:EA

(b) What happens to this result if "open" is replaced by "closed"?

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 19, 2024 01:02 AM

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10. Let V be a subset of a metric space X. (a) Prove that V is open...

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An Introduction To Analysis

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