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Corollary: Closed Real Intervals Are Compact

(related to Proposition: Closed n-Dimensional Cuboids Are Compact)

Every closed real interval $[a,b]\subset\mathbb R$ is a compact subset of the metric space of real numbers \(\mathbb R\).

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