Title of article :
On a universal ultrametric space
Author/Authors :
Lemin، نويسنده , , Alex J. and Lemin، نويسنده , , Vladimir A.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2000
Abstract :
For every cardinal τ we construct a universal ultrametric space LWτ such that any ultrametric space of weight ≤τ can be embedded isometrically in LWτ. The weight of LWτ is τℵ0 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
Keywords :
Metric space , ultrametric space , Non-Archimedean normed field , Isometric embedding , Cardinal number , p-adic numbers , AXIOM OF CHOICE , Non-Archimedean metric space
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
