Formality of the function space of free maps into an elliptic space
摘要
Let X be an n-connected elliptic space and Y a non rationally contractible, finite-type, g-dimensional CW complex, where q < n. We show that the function space X Y of free maps from Y into X is formal if and only if the rational cohomology algebra H*[X',Q) is free, that is, X has the rational homotopy type of a product of odd dimensional spheres.
引用本文（GB/T 7714）
Toshihiro Yamaguchi. Formality of the function space of free maps into an elliptic space[J]. Bulletin de la Société mathématique de France, 2000.
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