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The space of compact subsets of E d

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Abstract

Let K be the space of compact subsets of E d, endowed with the Hausdorff-metric. It is shown that the isometries of K onto itself are the mappings generated by rigid motions of E d.

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Bibliography

  1. Gruber, P.M., ‘Isometrien des Konvexringes’, Coll. Math. (in print).

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  1. Institut für Analysis, Technische Universität, Gußhausstraße 27, A-1040, Wien, Austria

    Peter M. Gruber

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  1. Peter M. Gruber
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Gruber, P.M. The space of compact subsets of E d . Geom Dedicata 9, 87–90 (1980). https://doi.org/10.1007/BF00156476

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  • DOI: https://doi.org/10.1007/BF00156476

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