4. Suppose that {VaJaEA is a collection of nonempty open sets in X that satisfies Va n...

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4. Suppose that {VaJaEA is a collection of nonempty open sets in X that satisfies Va n V,e = 0 for all ex =f. f3 in A. Prove that if X is separable, then A is countable. What happens to this result when "open" is omitted?

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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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4. Suppose that {VaJaEA is a collection of nonempty open sets in X that satisfies Va n...

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An Introduction To Analysis

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