子群族的分类空间的有界上同调

IF 0.6 3区数学 Q3 MATHEMATICS

Algebraic and Geometric Topology Pub Date : 2021-05-11 DOI:10.2140/agt.2023.23.933

Kevin Li

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引用次数: 4

摘要

我们引入了相对于一群子群的群的Bredon上同的一个有界版本。我们的理论推广了有界上同，不同于Mineyev—Yaman关于对的相对有界上同。我们得到了相对可调性和相对双曲性的上同刻画，类似于Johnson和Mineyev关于有界上同的结果。

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Bounded cohomology of classifying spaces for families of subgroups

We introduce a bounded version of Bredon cohomology for groups relative to a family of subgroups. Our theory generalizes bounded cohomology and differs from Mineyev--Yaman's relative bounded cohomology for pairs. We obtain cohomological characterizations of relative amenability and relative hyperbolicity, analogous to the results of Johnson and Mineyev for bounded cohomology.

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来源期刊

Algebraic and Geometric Topology 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebraic and Geometric Topology is a fully refereed journal covering all of topology, broadly understood.