Question

Prove the converse of Theorem 7.10: If $X \times Y$ is compact, then so are $X$ and $Y$.

   Prove the converse of Theorem 7.10: If $X \times Y$ is compact, then so are $X$ and $Y$.

Introduction to Topology: Pure and Applied

Introduction to Topology: Pure and Applied

Colin Adams, Robert… 1st Edition

Chapter 7, Problem 10

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A topological space is compact if every open cover has a finite subcover. Show more…

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Prove the converse of Theorem 7.10: If $X \times Y$ is compact, then so are $X$ and $Y$.

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