Bounded cohomology of classifying spaces for families of subgroups

نویسندگان

چکیده

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

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Survey on Classifying Spaces for Families of Subgroups

We define for a topological group G and a family of subgroups F two versions for the classifying space for the family F , the G-CW -version EF (G) and the numerable G-space version JF (G). They agree if G is discrete, or if G is a Lie group and each element in F compact, or if F is the family of compact subgroups. We discuss special geometric models for these spaces for the family of compact op...

متن کامل

Classifying Spaces of Subgroups of Profinite Groups

The set of all closed subgroups of a profinite carries a natural profinite topology. This space of subgroups can be classified up to homeomorphism in many cases, and tight bounds placed on its complexity as expressed by its scattered height.

متن کامل

Cohomology of Classifying Spaces and Hermitian Representations

It is shown that a large part of the cohomology of the classifying space of a Lie group satisfying certain hypotheses can be obtained by a difference construction from hermitian representations of that Lie group. This result is relevant to the study of Novikov’s higher signatures. 1. Statement of the Theorem 1.1. Let G be a connected Lie group. We set H G = H(BG,C) (cohomology with complex coef...

متن کامل

The Cohomology of Classifying Spaces of H-spaces

Let G denote an associative iï-space with unit (e.g. a topological group). We will show that the relations between G and a classifying space B Q axe more readily displayed using a geometric analog of the resolutions of homological algebra. The analogy is quite sharp, the stages of the resolution, whose base is BQ, determine a filtration of BQ. The resulting spectral sequence for cohomology is i...

متن کامل

Classifying fuzzy normal subgroups of finite groups

In this paper a first step in classifying the fuzzy normalsubgroups of a finite group is made. Explicit formulas for thenumber of distinct fuzzy normal subgroups are obtained in theparticular cases of symmetric groups and dihedral groups.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Algebraic & Geometric Topology

سال: 2023

ISSN: ['1472-2739', '1472-2747']

DOI: https://doi.org/10.2140/agt.2023.23.933