Rational formality of mapping spaces

Details Rational formality of mapping spaces Rational formality of mapping spaces

2010-03-29

arxiv.org/abs/1003.5491v1

Mathematics

Algebraic Topology

Scientific paper

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.

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