Une suite spectrale pour les groupes d'homotopie des espaces d'applications équivariantes

For a discrete group G, we define the notion of G-II-algebra whose model is given by the graded group (πn(K))n≥1 corresponding to a topological space K on which G acts. This notion is a natural extension of the notion of II-algebra ([8]) and we use it to construct a spectral sequence relied to the I...

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Publicado: 1998
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v5_n4_p565_Fieux
http://hdl.handle.net/20.500.12110/paper_13701444_v5_n4_p565_Fieux
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_13701444_v5_n4_p565_Fieux
record_format dspace
spelling paper:paper_13701444_v5_n4_p565_Fieux2023-06-08T16:12:14Z Une suite spectrale pour les groupes d'homotopie des espaces d'applications équivariantes For a discrete group G, we define the notion of G-II-algebra whose model is given by the graded group (πn(K))n≥1 corresponding to a topological space K on which G acts. This notion is a natural extension of the notion of II-algebra ([8]) and we use it to construct a spectral sequence relied to the II-algebra IImapGpt(X, Y), associated to the space of equivariant pointed continuous applications between two pointed G-CW-complexes X and Y. In particular, this spectral sequence converges to π*mapGpt(X, Y) when X is G-free and Y has only a finite number of non vanishing homotopy groups. We give an example obtained from the universal covering of BG. 1998 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v5_n4_p565_Fieux http://hdl.handle.net/20.500.12110/paper_13701444_v5_n4_p565_Fieux
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description For a discrete group G, we define the notion of G-II-algebra whose model is given by the graded group (πn(K))n≥1 corresponding to a topological space K on which G acts. This notion is a natural extension of the notion of II-algebra ([8]) and we use it to construct a spectral sequence relied to the II-algebra IImapGpt(X, Y), associated to the space of equivariant pointed continuous applications between two pointed G-CW-complexes X and Y. In particular, this spectral sequence converges to π*mapGpt(X, Y) when X is G-free and Y has only a finite number of non vanishing homotopy groups. We give an example obtained from the universal covering of BG.
title Une suite spectrale pour les groupes d'homotopie des espaces d'applications équivariantes
spellingShingle Une suite spectrale pour les groupes d'homotopie des espaces d'applications équivariantes
title_short Une suite spectrale pour les groupes d'homotopie des espaces d'applications équivariantes
title_full Une suite spectrale pour les groupes d'homotopie des espaces d'applications équivariantes
title_fullStr Une suite spectrale pour les groupes d'homotopie des espaces d'applications équivariantes
title_full_unstemmed Une suite spectrale pour les groupes d'homotopie des espaces d'applications équivariantes
title_sort une suite spectrale pour les groupes d'homotopie des espaces d'applications équivariantes
publishDate 1998
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v5_n4_p565_Fieux
http://hdl.handle.net/20.500.12110/paper_13701444_v5_n4_p565_Fieux
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