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Proposition: Compact Subsets of Metric Spaces Are Bounded and Closed

A subset \(A\) of a metric space \(X\) is compact if and only if it is bounded and closed.

Table of Contents

Proofs: 1

Mentioned in:

Chapters: 1
Proofs: 2 3

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References

Bibliography

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