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Proposition: Closed Subsets of Compact Sets are Compact

Let $(X,d)$ be a metric space and let \(C\subset X\) be a compact subset of \(X\). Then, any closed subset \(A\subset C\) is also compact.

Table of Contents

Proofs: 1

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Proofs: 1

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References

Bibliography

  1. Forster Otto: "Analysis 2, Differentialrechnung im \(\mathbb R^n\), Gewöhnliche Differentialgleichungen", Vieweg Studium, 1984