Dans le fibre de l'espace des lacets libres, la fibre n'est pas, en général, totalement non cohomologue à zéro

DOI10.1007/BF01182390zbMath0505.55006MaRDI QIDQ1836422

Micheline Vigué-Poirrier

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173252

zbMATH Keywords

space of free loops1- connected pointed space, whose rational cohomology is of finite typeHalperin-Stasheff models of a topological spacespace of based loopsSullivan's models

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Localization and completion in homotopy theory (55P60) Loop spaces (55P35) Geodesics in global differential geometry (53C22)

Related Items (6)

Sur l'homotopie rationnelle des espaces fonctionnels ⋮ On the negative cyclic homology of \(shc\)-algebras ⋮ Cohomology of the free loop space of a complex projective space ⋮ Loop homology of some global quotient orbifolds ⋮ Homotopie rationnelle et croissance du nombre de géodésiques fermées ⋮ Homotopie rationnelle et croissance du nombre de géodésiques fermées

Cites Work

• The rational homotopy theory of certain path spaces with applications to geodesics
• Homotopical effects of dilatation
• Rational homotopy of Serre fibrations
• The homology theory of the closed geodesic problem
• Infinitesimal computations in topology
• Obstructions to homotopy equivalences
• Realisation de Morphismes Donnes en Cohomologie et Suite Spectrale D'Eilenberg-Moore
• On the Characteristic Zero Cohomology of the Free Loop Space
• Rational Fibrations, Minimal Models, and Fibrings of Homogeneous Spaces

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