Suppose that X is connected. Prove that if there is a nonconstant, continuous function f: X

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Suppose that X is connected. Prove that if there is a nonconstant, continuous function f: X → R, then X has uncountably many points.

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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 04:18 AM

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Suppose that X is connected. Prove that if there is a nonconstant, continuous function f: X

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Suppose that X is connected By Theorems 1062 and 1056 fX is a...View the full answer

An Introduction to Analysis

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