| VOKŘÍNEK, Lukáš. Constructing homotopy equivalences of chain complexes of free ZG-modules. In Christian Ausoni, Kathryn Hess, Brenda Johnson, Wolfgang Lück, Jérôme Scherer. An Alpine Expedition through Algebraic Topology. Neuveden: American Mathematical Soc., 2014, p. 279-296. ISBN 978-0-8218-9145-2. |
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@inproceedings{1233007,
author = {Vokřínek, Lukáš},
address = {Neuveden},
booktitle = {An Alpine Expedition through Algebraic Topology},
editor = {Christian Ausoni, Kathryn Hess, Brenda Johnson, Wolfgang Lück, Jérôme Scherer},
keywords = {chain complex; homotopy module; reduction; homotopy equivalence; transfer},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Neuveden},
isbn = {978-0-8218-9145-2},
pages = {279-296},
publisher = {American Mathematical Soc.},
title = {Constructing homotopy equivalences of chain complexes of free ZG-modules},
url = {https://arxiv.org/pdf/1304.6771.pdf},
year = {2014}
}
TY - JOUR
ID - 1233007
AU - Vokřínek, Lukáš
PY - 2014
TI - Constructing homotopy equivalences of chain complexes of free ZG-modules
PB - American Mathematical Soc.
CY - Neuveden
SN - 9780821891452
KW - chain complex
KW - homotopy module
KW - reduction
KW - homotopy equivalence
KW - transfer
UR - https://arxiv.org/pdf/1304.6771.pdf
L2 - https://arxiv.org/pdf/1304.6771.pdf
N2 - We describe a general method for algorithmic construction of G-equivariant chain homotopy equivalences from non-equivariant ones. As a consequence, we obtain an algorithm for computing equivariant (co)homology of Eilenberg-MacLane spaces K(pi,n), where pi is a finitely generated ZG-module. The results of this paper will be used in a forthcoming paper to construct equivariant Postnikov towers of simply connected spaces with free actions of a finite group $G$ and further to compute stable equivariant homotopy classes of maps between such spaces. The methods of this paper work for modules over any non-negatively graded differential graded algebra, whose underlying graded abelian group is free with 1 as one of the generators.
ER -
VOKŘÍNEK, Lukáš. Constructing homotopy equivalences of chain complexes of free ZG-modules. In Christian Ausoni, Kathryn Hess, Brenda Johnson, Wolfgang Lück, Jérôme Scherer. \textit{An Alpine Expedition through Algebraic Topology}. Neuveden: American Mathematical Soc., 2014, p.~279-296. ISBN~978-0-8218-9145-2.
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