On asymptotic extension dimension

Du\v{s}an Repov\v{s}; Mykhailo Zarichnyi

arxiv: 1105.5724 · v1 · pith:MPVQWBXSnew · submitted 2011-05-28 · 🧮 math.GT · math.GN· math.MG

On asymptotic extension dimension

Du\v{s}an Repov\v{s} , Mykhailo Zarichnyi This is my paper

classification 🧮 math.GT math.GNmath.MG

keywords dimensionasymptoticextensioncoronacounterpartdefineddranishnikovestablishes

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The aim of this paper is to introduce an asymptotic counterpart of the extension dimension defined by Dranishnikov. The main result establishes a relation between the asymptotic extensional dimension of a proper metric space and extension dimension of its Higson corona.

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On asymptotic extension dimension

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