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

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

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Recall that f 1 V is relatively open in A if a...View the full answer

An Introduction to Analysis

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