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Proposition: Image of a Compact Set Under a Continuous Function
Let \(X,Y\) be metric spaces and let $f:X\mapsto Y$ a continuous function. If \(C\subset X\) is compact, then the image of $C$ under $f$, i.e. the subset \(f( C)\subset Y\), is also compact.
Table of Contents
Proofs: 1
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Proofs: 1
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References
Bibliography
 Forster Otto: "Analysis 2, Differentialrechnung im \(\mathbb R^n\), Gewöhnliche Differentialgleichungen", Vieweg Studium, 1984