Abstract

For every cardinal τ we construct a universal ultrametric space LW τ such that any ultrametric space of weight ≤τ can be embedded isometrically in LW τ . The weight of LW τ is τ ℵ 0 and we show that for all cardinals τ≤c and for a wide class of cardinals >c the weight of a universal ultrametric space can not be smaller

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