A colimit of classifying spaces

Graham Ellis; Roman Mikhailov

doi:10.1016/j.aim.2009.11.003

A colimit of classifying spaces

Graham Ellis
, Roman Mikhailov

Mathematics

Steklov Mathematical Institute of RAS

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

13 Citations (Scopus)

Abstract

We recall a description of the first non-vanishing homotopy group of a certain (n + 1)-ad of spaces and show how it yields group-theoretic formulae for homotopy and homology groups of several specific spaces.

Original language	English
Pages (from-to)	2097-2113
Number of pages	17
Journal	Advances in Mathematics
Volume	223
Issue number	6
DOIs	https://doi.org/10.1016/j.aim.2009.11.003
Publication status	Published - 1 Apr 2010

Keywords

Combinatorial group theory
Homotopy colimit
Homotopy group

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10.1016/j.aim.2009.11.003

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KW - Homotopy group

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A colimit of classifying spaces

Abstract

Keywords

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