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Characterizations of totally ordered sets by their various endomorphisms

✍ Scribed by Daniel Hort; Jan Chvalina; Jiří Moučka

Book ID: 110411043
Publisher: Springer
Year: 2002
Tongue: English
Weight: 142 KB
Volume: 52
Category: Article
ISSN: 0011-4642
DOI: 10.1023/a:1021763102781

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## 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