Suppose that A is closed in Rn and f: A Rm. Prove that f is continuous

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Suppose that A is closed in Rn and f: A → Rm. Prove that f is continuous on A if and only if f-l (E) is closed in Rn for every closed subset E of Rm.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:14 AM

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Suppose that A is closed in Rn and f: A Rm. Prove that f is continuous

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Suppose f is continuous on B and that E is a closed subset of R ...View the full answer

An Introduction to Analysis

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