On the finite compactness and completeness of certain mapping spaces with the Busemann metric (Q1902793)

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scientific article; zbMATH DE number 820024
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On the finite compactness and completeness of certain mapping spaces with the Busemann metric
scientific article; zbMATH DE number 820024

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    On the finite compactness and completeness of certain mapping spaces with the Busemann metric (English)
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    14 December 1995
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    In [The geometry of geodesics (1955; Zbl 0112.37002)] \textit{H. Busemann} had introduced a metric on the isometry group of a metric space and had demonstrated that the isometry group of a finitely compact metric space is a finitely compact topological group. In the present article we obtain similar results for certain mapping spaces with the Busemann metric.
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    mapping spaces
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    Busemann metric
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