Prove that a space X is connected if and only if there does not exist a continuous

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Prove that a space X is connected if and only if there does not exist a continuous function f : X −→ {0, 1}, where {0, 1} has the discrete topology.

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Posted Date: Jul 19, 2021 01:43 AM

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Prove that a space X is connected if and only if there does not exist a continuous

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Introduction to Real Analysis

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