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On a universal ultrametric space

โœ Scribed by Alex J. Lemin; Vladimir A. Lemin

Book ID
104295612
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
75 KB
Volume
103
Category
Article
ISSN
0166-8641

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โœฆ Synopsis

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 space can not be smaller

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