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.
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.
Accepted:
DOI: 10.5802/aif.2201
Classification: 55P62, 54C35
Keywords: Function space, mapping space, Sullivan model, rational homotopy theory
@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}, pages = {815--838}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {56}, number = {3}, year = {2006}, doi = {10.5802/aif.2201}, zbl = {1122.55008}, mrnumber = {2244231}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2201/} }
TY - JOUR TI - Basic constructions in rational homotopy theory of function spaces JO - Annales de l'Institut Fourier PY - 2006 DA - 2006/// SP - 815 EP - 838 VL - 56 IS - 3 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2201/ UR - https://zbmath.org/?q=an%3A1122.55008 UR - https://www.ams.org/mathscinet-getitem?mr=2244231 UR - https://doi.org/10.5802/aif.2201 DO - 10.5802/aif.2201 LA - en ID - AIF_2006__56_3_815_0 ER -
Buijs, Urtzi; Murillo, Aniceto. Basic constructions in rational homotopy theory of function spaces. Annales de l'Institut Fourier, Volume 56 (2006) no. 3, pp. 815-838. doi : 10.5802/aif.2201. https://aif.centre-mersenne.org/articles/10.5802/aif.2201/
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