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arXiv.org e-Print Archive
Preprint . 2011
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On asymptotic extension dimension

descriptionPublicationkeyboard_double_arrow_right Preprint 28 May 2011
Authors: Repovš, Dušan; Zarichnyi, Mykhailo;

arXiv: 1105.5724

On asymptotic extension dimension

Abstract

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.

Keywords

Mathematics - Geometric Topology, Mathematics - Metric Geometry, 54F45, 54C40, 55M10, Mathematics - General Topology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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