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Dilated sets and characterizations of simplexes

โœ Scribed by A. J. Ellis; A. K. Roy

Publisher
Springer-Verlag
Year
1980
Tongue
English
Weight
442 KB
Volume
56
Category
Article
ISSN
0020-9910

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๐Ÿ“œ SIMILAR VOLUMES

Characterization of Compact Sets by Thei
Characterization of Compact Sets by Their Dilation Volume
โœ Jan Rataj ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 454 KB

## Abstract The uniqueness up to translation of the characterization of random compact sets in Euclidean space by their dilation volumes is shown. The unique correspondence is shown to be a homeomorphism with respect to suitable topologies. If set differences of volume zero are neglected, dilations