Prove that a nonempty pathwise connected subset of a topological space (X, J) is a path component

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Prove that a nonempty pathwise connected subset of a topological space (X, J) is a path component of X if and only if it is not a proper subset of a pathwise connected subset of X.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Posted Date: Jan 22, 2020 05:10 AM

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Prove that a nonempty pathwise connected subset of a topological space (X, J) is a path component

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An Introduction to Analysis

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