Sur les espaces fonctionnels dont la source est le classifiant d’un groupe de Lie compact commutatif

@inproceedings{Dehon1999SurLE,
  title={Sur les espaces fonctionnels dont la source est le classifiant d’un groupe de Lie compact commutatif},
  author={François-Xavier Dehon and Jean Lannes},
  year={1999}
}
We show in this paper how the acquired knowledge on the mapping spaces with source the classifying space of Z/p ([La2], [DS]) and the use of unstable MU-resolutions give results on the mapping spaces with source the classifying space of a finite abelian p-group or a torus if the target space is required to have a torsion free p-adic cohomology. We prove among other things that the set of homotopy classes of maps from the classifying space X of a torus to some simply connected space Y whose… CONTINUE READING