Group actions on algebraic cell complexes
Kropholler, P. H. (University of Glasgow (Gran Bretanya). Department of Mathematics)
Wall, C. T. C. (The University of Liverpool(Gran Bretanya). Department of Mathematical Sciences)

Date:	2011
Abstract:	We establish an algebraic version of the classical result that a G-map f between G-complexes which restricts to a homotopy equivalence fH on H-xed sets for all subgroups H of G is a G-ho-motopy equivalence. This is used to give an alternative proof of a theorem of Bouc. We also include a number of illustrations and applications.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Cell complex ; Group action ; Equivariant homotopy
Published in:	Publicacions matemàtiques, Vol. 55, Núm. 1 (2011) , p. 3-18, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/217232
DOI: 10.5565/PUBLMAT_55111_01

16 p, 328.0 KB

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