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Exercises

  1. [0K8] Prerequisites:[06P],[230],[2B7].Difficulty:**.

    Let \((Y,\sigma )\) be a Hausdorff topological space. Show that \(Y\) is compact if and only if every net taking values in \(Y\) admits a converging subnet.

    Solution 1

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Bibliography
Book index
  • compact set, and net
  • net, and compact set
  • space, topological
  • topological space
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