A metric space if compact if and only if it is complete and totally bounded. x=Us

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A metric space if compact if and only if it is complete and totally bounded.

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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 11:34 AM

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A metric space if compact if and only if it is complete and totally bounded. x=Us

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x=Us

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Assume is compact The previous exercise showed that is totally bounded Further since every seque...View the full answer

Foundations of Mathematical Economics

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