arXiv:math/0211069 Abstract

arXiv:math/0211069 [math.GT]Abstract References Reviews Resources

Universal spaces for asymptotic dimension

Published 2002-11-04Version 1

We construct a universal space for the class of proper metric spaces of bounded geometry and of given asymptotic dimension. As a consequence of this result, we establish coincidence of the asymptotic dimension with the asymptotic inductive dimensions.

Comments: 24 pages, 1 figure

Categories: math.GT, math.GN

Subjects: 54F45

Keywords: asymptotic dimension, universal space, proper metric spaces, asymptotic inductive dimensions, bounded geometry

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