Every linear space has a basis. [Let P be the set of all linearly independent subsets of

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Every linear space has a basis. [Let P be the set of all linearly independent subsets of a linear space X. P is partially ordered by inclusion. Use Zorn's lemma (remark 1.5) to show that P has a maximal element B. Show that B is a basis of X.]

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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 11:27 AM

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Every linear space has a basis. [Let P be the set of all linearly independent subsets of

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Foundations of Mathematical Economics

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