Asymptotic dimension
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 my 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 dimension has important applications in geometric analysis and index theory.
Link from a Wikipage to another Wikipage
primaryTopic
Asymptotic dimension
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 my 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 dimension has important applications in geometric analysis and index theory.
has abstract
In metric geometry, asymptotic ...... ric analysis and index theory.
@en
Link from a Wikipage to an external page
Wikipage page ID
52,208,686
page length (characters) of wiki page
Wikipage revision ID
960,754,310
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
comment
In metric geometry, asymptotic ...... ric analysis and index theory.
@en
label
Asymptotic dimension
@en