Rational formality of mapping spaces

zbMATH Open1278.55022arXiv1003.5491MaRDI QIDQ390699

Yves Félix

Publication date: 8 January 2014

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1003.5491

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Classification of mappings in algebraic topology (55S37)

Related Items (2)

Rational formality of function spaces ⋮ Weight decompositions on algebraic models for mapping spaces and homotopy automorphisms

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