Prove that if V is open in a separable metric space X, then there are open balls

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Prove that if V is open in a separable metric space X, then there are open balls B1, B2,... such that

Prove that every open set in R is a countable union of open intervals.

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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 04:17 AM

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Prove that if V is open in a separable metric space X, then there are open balls

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By Exercise 10310 there exist x 0 such that V x V B ...View the full answer

An Introduction to Analysis

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