A metric space X is connected if and only if X and are the only sets

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A metric space X is connected if and only if X and ∅ are the only sets that are both open and closed.

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:33 AM

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A metric space X is connected if and only if X and are the only sets

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Assume is both open and closed W e show that we can represent as the union of two dis...View the full answer

Foundations of Mathematical Economics

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