The rational homology of function spaces

DOI10.1007/BF01194391zbMath0674.55008MaRDI QIDQ1121552

S. H. Smith

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

closed model categorydifferential \({\mathbb{Z}}\)-graded commutative algebras over \({\mathbb{Q}}\)fibrant objectmodels for function spaces

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Homotopy groups, general; sets of homotopy classes (55Q05) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Related Items

An operadic model for a mapping space and its associated spectral sequence, An explicit \(L_\infty\) structure for the components of mapping spaces, On the rational homotopy type of function spaces, A function space model approach to the rational evaluation subgroups, The cotriple resolution of differential graded algebras, Homotopie modérée et tempérée avec les coalgèbres. Applications aux espaces fonctionnels. (Tame homotopy via coalgebras. Applications to function spaces)

Cites Work

• Rational homotopy theory
• Rational Homotopy of Spaces of Maps Into Spheres and Complex Projective Spaces
• On the Homology Spectral Sequence of a Cosimplicial Space
• On 𝑃𝐿 de Rham theory and rational homotopy type
• Rational Homotopy of the Space of Sections of a Nilpotent Bundle