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On Injective and Cofibrant Equivariant Minimal Models

Published online by Cambridge University Press:  04 December 2007

Marek Golasiński
Marek Golasiński
Affiliation:
Faculty of Mathematics and Informatics, Nicholas Copernicus University, 87-100 Toruń, Chopina 12/18, Poland. E-mail: marek@mat.uni.torun.pl
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Abstract

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Let X be a G-connected nilpotent simplicial set, where G is a finite Hamiltonian group. We construct a cofibrant equivariant minimal model of X with the strong homotopy type of the injective minimal model of X defined by Triantafillou.

Keywords

category of canonical orbitscofibrant and injective equivariant minimal modelsG-connected nilpotent simplicial setHamiltonian group${\cal O}$(G)-algebra and ${\cal O}$(G)-module
Type
Research Article
Information
Compositio Mathematica , Volume 124 , Issue 1 , October 2000 , pp. 1 - 9
Copyright
© 2000 Kluwer Academic Publishers