Rational formality of mapping spaces
Algebraic Topology
2010-03-30 v1
Abstract
Let X and Y be finite nilpotent CW complexes with dimension of X less than the connectivity of Y. Generalizing results of Vigu\'e-Poirrier and Yamaguchi, we prove that the mapping space Map(X,Y) is rationally formal if and only if Y has the rational homotopy type of a finite product of odd dimensional spheres.
Cite
@article{arxiv.1003.5491,
title = {Rational formality of mapping spaces},
author = {Yves Felix},
journal= {arXiv preprint arXiv:1003.5491},
year = {2010}
}