Sur l'homotopie rationnelle des espaces fonctionnels

DOI10.1007/BF01172155zbMath0597.55008OpenAlexW12543639MaRDI QIDQ1079225

Micheline Vigué-Poirrier

Publication date: 1985

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155165

zbMATH Keywords

nilpotent spacefunction spacesminimal modelrational homotopy Lie algebraspace of sectionsgrowth of the sequence of Betti numbersrational homotopy type of

Mathematics Subject Classification ID

Rational homotopy theory (55P62) (H)-spaces and duals (55P45) Geodesics in global differential geometry (53C22)

Related Items

Basic constructions in rational homotopy theory of function spaces, Lie models for the components of sections of a nilpotent fibration, On the rational homotopy type of function spaces, Whitehead products in function spaces: Quillen model formulae, Rational homotopy of gauge groups, Rank of the fundamental group of any component of a function space, Homotopie modérée et tempérée avec les coalgèbres. Applications aux espaces fonctionnels. (Tame homotopy via coalgebras. Applications to function spaces)

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