Effet d'un attachement cellulaire dans l'homologie de l'espace des lacets. (The effect of attaching cells to the homology of loop spaces)

DOI10.5802/aif.1164zbMath0686.55005OpenAlexW2317593607MaRDI QIDQ1262573

Jean-Claude Thomas, Yves Félix

Publication date: 1989

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1989__39_1_207_0

zbMATH Keywords

localizationfibrationcofibre sequencefibre-cofibre constructioninert sequence

Mathematics Subject Classification ID

Loop spaces (55P35) Homotopy groups of special spaces (55Q52)

Related Items

The free loop space homology of \((n-1)\)-connected \(2n\)-manifolds, Homology of loop spaces of configuration spaces, The fibre of a cell attachment, The Homotopy Type of a Poincaré Duality Complex After Looping, Graph products of spheres, associative graded algebras and Hilbert series., Free and semi-inert cell attachments, Loop space homology -- problems and questions, Homotopy groups of highly connected Poincaré duality complexes

Cites Work

• On the chain algebra of a loop space
• On rationalized H- and co-H-spaces. With an appendix on decomposable H- and co-H-spaces
• The fibre-cofibre construction and its applications
• Non-commutative graded algebras and their Hilbert series
• Minimal models in homotopy theory
• On the structure of Hopf algebras
• Homotopy limits, completions and localizations
• Loop Spaces of Finite Complexes at Large Primes
• The Radical of the Homotopy Lie Algebra
• Suites inertes dans les algèbres de Lie grasuées. ("Autopsie d'un meurtre II").
• «Autopsie d'un meurtre» dans l'homologie d'une algèbre de chaînes
• Hopf Algebras up to Homotopy
• Hopf Algebras and Multiplicative Fibrations II
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item