A topological space is said to be normal if, for any pair of disjoint closed sets S1

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A topological space is said to be normal if, for any pair of disjoint closed sets S1 and S2, there exist open sets (neighborhoods) T1 ⊃ S1 and T2 ⊃ S2 such that T1 ∩ T2 = ∅. Show that any metric space is normal.

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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 topological space is said to be normal if, for any pair of disjoint closed sets S1

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For any 1 2 0 Similarly for every 2 1 0 Let Then 1 and 2 are open sets containing 1 and 2 ...View the full answer

Foundations of Mathematical Economics

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