Suppose that X is compact and f is a continuous one-to-one function from X onto Y. Then

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Suppose that X is compact and f is a continuous one-to-one function from X onto Y. Then f is an open mapping, which implies that f -1 is continuous and f is a homeomorphism.

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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 11:39 AM

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Suppose that X is compact and f is a continuous one-to-one function from X onto Y. Then

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Let be any open set in Its complement is closed and therefo...View the full answer

Foundations of Mathematical Economics

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