Asymptotic dimension
id:
asymptotic-dimension-188-12561537
title:
Asymptotic dimension
text:
In metric geometry, asymptotic dimension of a metric space is a large-scale analog of Lebesgue covering dimension. The notion of asymptotic dimension was introduced by Mikhail Gromov in his 1993 monograph Asymptotic invariants of infinite groups in the context of geometric group theory, as a quasi-isometry invariant of finitely generated groups. As shown by Guoliang Yu, finitely generated groups of finite homotopy type with finite asymptotic dimension satisfy the Novikov conjecture. Asymptotic d
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Asymptotic_dimension
date created:
2016-11-06T21:53:35Z
date modified:
2024-09-08T23:31:58Z
main entity:
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image:
fields total:
13
integrity:
14