Let f : R R. Prove that f is continuous on R if and only if

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Let f : R → R. Prove that f is continuous on R if and only if f-1 (I) is open in R for every open interval I.

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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 04:17 AM

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Let f : R R. Prove that f is continuous on R if and only if

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Suppose f R R is continuous and I a b Let x f 1 I B Y definition fx I Since I is open there is ...View the full answer

An Introduction to Analysis

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