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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