Let V be a subset of R a) Prove that V is open if and only if there is a collection of open balls B A such that b) What happens to this result when open is replaced by closed ...

a Given x V choose x 0 such that B x V Then V x V B x On ...

Let V be a subset of R. a) Prove that V is open if and only if

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Let V be a subset of R".
a) Prove that V is open if and only if there is a collection of open balls {BÎ± : Î± ˆˆ A} such that

b) What happens to this result when open is replaced by closed?

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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 04:12 AM

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Let V be a subset of R. a) Prove that V is open if and only if

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