Category, growth and grade in a fibration

DOI10.1016/0022-4049(96)00017-5zbMath0868.55008OpenAlexW2035425894MaRDI QIDQ1817232

Colette De Coster, Yves Félix

Publication date: 18 August 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(96)00017-5

zbMATH Keywords

gradehomologyenveloping algebraLyusternik-Shnirel'man categorydepthgraded Lie algebraloop spaceresidual depth

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Rational homotopy theory (55P62)

Cites Work

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• On the chain algebra of a loop space
• Mod \(p\) loop space homology
• Hopf algebras of polynomial growth
• Loop space homology of spaces of LS category one and two
• The category of a map and the grade of a module
• Lectures on minimal models
• Module d'holonomie d'une fibration
• The Radical of the Homotopy Lie Algebra
• Lie Algebras of Polynomial Growth
• Rational L.-S. Category and Its Applications

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