An inductive Lusternik-Schnirelmann category in a model category

DOI10.1016/J.JPAA.2007.05.005zbMath1127.55005arXivmath/0612619OpenAlexW2124750611MaRDI QIDQ2456390

Yanyan Li

Publication date: 18 October 2007

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

Full work available at URL: https://arxiv.org/abs/math/0612619

zbMATH Keywords

LS-categorymodel categoryhomotopy invariant

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homotopie rationelle: modèles de Chen, Quillen, Sullivan
• L.S.-category in a model category
• Torsion in homotopy groups
• On category, in the sense of Lusternik-Schnirelmann
• Generalizing a definition of Lusternik and Schnirelmann to model categories
• A generalization of the homology and homotopy suspension
• Homotopical algebra
• Rational homotopy theory
• The homotopy category is a homotopy category
• Lusternik-Schnirelmann Category and Cocategory
• Rational L.-S. Category and Its Applications

This page was built for publication: An inductive Lusternik-Schnirelmann category in a model category