Loop space homology of spaces of LS category one and two

DOI10.1007/BF01446900zbMath0687.55004OpenAlexW1974401019MaRDI QIDQ1263121

Jean-Claude Thomas, Stephen Halperin, Yves Félix

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/164692

zbMATH Keywords

loop space homologyfinite depthnilpotent Hopf algebra

Mathematics Subject Classification ID

Loop spaces (55P35) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05)

Related Items (4)

The ranks of the homotopy groups of a space of finite LS category ⋮ The fibre of an iterative adjunction of cells ⋮ Category, growth and grade in a fibration ⋮ Loop space homology -- problems and questions

Cites Work

• On the ranks of homotopy groups of a space
• On the chain algebra of a loop space
• The enveloping algebra of a graded Lie algebra of global dimension two contains a free subalgebra on two generators
• On the mod p Betti numbers of loop spaces
• Gorenstein spaces
• Mod \(p\) loop space homology
• Hopf algebras of polynomial growth
• Homotopical effects of dilatation
• Non-commutative graded algebras and their Hilbert series
• Primitive subspaces of Hopf algebras of finite depth
• On the structure of Hopf algebras
• On the Pontryagin product in spaces of paths
• Lusternik-Schnirelmann Category and Cocategory
• Sur l'homotopie des espaces de categorie 2.
• On Monomial Algebras of Finite Global Dimension
• Suites inertes dans les algèbres de Lie grasuées. ("Autopsie d'un meurtre II").
• K-THEORY AND THE HOPF INVARIANT
• Hopf Algebras and Multiplicative Fibrations, I

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