no. 3
Basic constructions in rational homotopy theory of function spaces  [ Constructions basiques en théorie d’homotopie rationnelle des espaces fonctionnels ]
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.

Reçu le : 2005-05-25
Accepté le : 2005-09-05
DOI : https://doi.org/10.5802/aif.2201
Classification : 55P62,  54C35
Mots clés: Espace fonctionnel, modèle de Sullivan, homotopie rationnelle 
@article{AIF_2006__56_3_815_0,
     author = {Buijs, Urtzi and Murillo, Aniceto},
     title = {Basic constructions in rational homotopy theory of function spaces},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {56},
     number = {3},
     year = {2006},
     pages = {815-838},
     doi = {10.5802/aif.2201},
     zbl = {1122.55008},
     mrnumber = {2244231},
     language = {en},
     url = {aif.centre-mersenne.org/item/AIF_2006__56_3_815_0/}
}
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. https://aif.centre-mersenne.org/item/AIF_2006__56_3_815_0/

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