no. 3
Basic constructions in rational homotopy theory of function spaces
[Constructions basiques en théorie d’homotopie rationnelle des espaces fonctionnels]
Buijs, Urtzi1 ; Murillo, Aniceto2
1 Universidad de Málaga Departamento de Algebra Geometría y Topología Ap. 59, 29080 Málaga (Spain)
2 Departamento de Algebra, Geometría y Topología, Universidad de Málaga, Ap. 59, 29080 Málaga, Spain
Annales de l'Institut Fourier, Tome 56 (2006) no. 3, pp. 815-838.

Moyennant le foncteur de réalisation de Bousfield-Gugenheim, et à l’aide comme point de départ du modèle de Brown Szczarba d’un espace de fonctions, on décrit les objets basiques et les applications relatives au type d’homotopie rationnelle des espaces fonctionnels et de leurs composantes arc-connexes.

Via the Bousfield-Gugenheim realization functor, and starting from the Brown-Szczarba model of a function space, we give a functorial framework to describe basic objects and maps concerning the rational homotopy type of function spaces and its path components.

DOI : 10.5802/aif.2201
Classification : 55P62, 54C35
Keywords: Function space, mapping space, Sullivan model, rational homotopy theory
Mot clés : Espace fonctionnel, modèle de Sullivan, homotopie rationnelle
Buijs, Urtzi 1 ; Murillo, Aniceto 2

1 Universidad de Málaga Departamento de Algebra Geometría y Topología Ap. 59, 29080 Málaga (Spain)
2 Departamento de Algebra, Geometría y Topología, Universidad de Málaga, Ap. 59, 29080 Málaga, Spain 
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Buijs, Urtzi; Murillo, Aniceto. Basic constructions in rational homotopy theory of function spaces. Annales de l'Institut Fourier, Tome 56 (2006) no. 3, pp. 815-838. doi : 10.5802/aif.2201. http://www.numdam.org/articles/10.5802/aif.2201/

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