Contents Online
Homology, Homotopy and Applications
Volume 20 (2018)
Number 2
Constructing equivariant homotopy equivalences via extension of scalars
Pages: 281 – 287
DOI: https://dx.doi.org/10.4310/HHA.2018.v20.n2.a14
Author
Abstract
Given a finite group $G$, we present a new algorithm to construct a $\mathbb{Z}G$-linear strong homotopy equivalence of $\mathbb{Z}G$-complexes from a $\mathbb{Z}$-linear one.
Keywords
strong homotopy equivalence, bar construction, perturbation lemma, effective homological algebra, chain complex, differential graded algebra
2010 Mathematics Subject Classification
18G10, 68W30
The research was supported by the project MUNI/A/1103/2016.
Received 26 November 2017
Received revised 1 February 2018
Published 13 June 2018