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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_13701444_v5_n4_p565_Fieux |
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todo:paper_13701444_v5_n4_p565_Fieux2023-10-03T16:11:37Z Une suite spectrale pour les groupes d'homotopie des espaces d'applications équivariantes Fieux, E. Solotar, A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 |
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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. |
| format |
JOUR |
| author |
Fieux, E. Solotar, A. |
| spellingShingle |
Fieux, E. Solotar, A. Une suite spectrale pour les groupes d'homotopie des espaces d'applications équivariantes |
| author_facet |
Fieux, E. Solotar, A. |
| author_sort |
Fieux, E. |
| title |
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 |
| url |
http://hdl.handle.net/20.500.12110/paper_13701444_v5_n4_p565_Fieux |
| work_keys_str_mv |
AT fieuxe unesuitespectralepourlesgroupesdhomotopiedesespacesdapplicationsequivariantes AT solotara unesuitespectralepourlesgroupesdhomotopiedesespacesdapplicationsequivariantes |
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