Generalizing a definition of Lusternik and Schnirelmann to model categories
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Publication:1313782
DOI10.1016/0022-4049(94)90140-6zbMath0790.55007OpenAlexW1965091588MaRDI QIDQ1313782
Jean-Michel Lemaire, Kathryn P. Hess
Publication date: 26 June 1994
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(94)90140-6
Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Rational homotopy theory (55P62) Abstract and axiomatic homotopy theory in algebraic topology (55U35)
Related Items (6)
About dual cube theorems ⋮ Axiome du cube et foncteurs de Quillen. (Cube axiom and Quillen's functors) ⋮ An inductive Lusternik-Schnirelmann category in a model category ⋮ L.S.-category in a model category ⋮ On the Ganea strong category in proper homotopy ⋮ On the algebraic approximation of Lusternik--Schnirelmann category.
Cites Work
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- On the chain algebra of a loop space
- Infinitesimal computations in topology
- On category, in the sense of Lusternik-Schnirelmann
- A generalization of the homology and homotopy suspension
- Lusternik-Schnirelmann category and strong category
- Rational homotopy theory
- Rational L.-S. Category and Its Applications
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