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A Hyperbolic Filling for Ultrametric Spaces

โœ Scribed by Ibragimov, Zair

Book ID
121548535
Publisher
Springer-Verlag
Year
2014
Tongue
English
Weight
253 KB
Volume
14
Category
Article
ISSN
1617-9447

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For every cardinal ฯ„ we construct a universal ultrametric space LW ฯ„ such that any ultrametric space of weight ฯ„ can be embedded isometrically in LW ฯ„ . The weight of LW ฯ„ is ฯ„ โ„ต 0 and we show that for all cardinals ฯ„ c and for a wide class of cardinals > c the weight of a universal ultrametric spac