On a universal ultrametric space
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Alex J. Lemin; Vladimir A. Lemin
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Article
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2000
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Elsevier Science
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English
โ 75 KB
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 โต 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