On transfinite extension of asymptotic dimension

2006/01/11 by Taras Radul, Radul, Taras · 1 citation
Mathematics · #54D35 #54F45 #FOS: Mathematics #General Topology (math.GN) #Geometric Topology (math.GT) #math.GN #math.GT #msc:54D35 #msc:54F45

paper · pdf · doi:10.48550/arxiv.math/0601235

arxiv created 2006/01/11 · arxiv updated 2009/12/01

Abstract

We prove that a transfinite extension of asymptotic dimension asind is trivial. We introduce a transfinite extension of asymptotic dimension asdim and give an example of metric proper space which has transfinite infinite dimension.

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