Suppose that Va aA is a collection of nonempty open sets in Rn which satisfies Va V for all in A Prove that A is countable What happens to this result when open is omitted ...

Suppose A is uncountable Since each V is nonempty ch ...

Suppose that {Va}aA is a collection of nonempty open sets in Rn which satisfies Va V

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Suppose that {Va}a∈A is a collection of nonempty open sets in Rn which satisfies Va ∩ Vβ = θ for all α ≠ β in A. Prove that A is countable. What happens to this result when open is omitted?

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:15 AM

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Suppose that {Va}aA is a collection of nonempty open sets in Rn which satisfies Va V

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Suppose A is uncountable Since each V is nonempty ch...View the full answer

An Introduction to Analysis

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