L.S.-category in a model category
From MaRDI portal
Publication:1208230
DOI10.1016/0022-4049(93)90001-AzbMath0777.55007MaRDI QIDQ1208230
Publication date: 16 May 1993
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
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)
Related Items (13)
About dual cube theorems ⋮ Axiome du cube et foncteurs de Quillen. (Cube axiom and Quillen's functors) ⋮ Whitehead and Ganea constructions for fibrewise sectional category ⋮ Abstract sectional category in model structures on topological spaces ⋮ Sectional category of a class of maps ⋮ An inductive Lusternik-Schnirelmann category in a model category ⋮ The Ganea conjecture in proper homotopy via exterior homotopy theory ⋮ Ganea and Whitehead definitions for the tangential Lusternik-Schnirelmann category of foliations ⋮ Maps into homotopy coalgebras ⋮ Variation zum Konzept der Lusternik—Schnirelmann—Kategorie ⋮ On the algebraic approximation of Lusternik--Schnirelmann category. ⋮ The sectional category of spherical fibrations ⋮ Loop space homology -- problems and questions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The geometric realization of a semi-simplicial complex
- Homotopie rationelle: modèles de Chen, Quillen, Sullivan
- Mod \(p\) loop space homology
- Sur les invariants d'homotopie rationnelle lies à la L.S. categorie
- Minimal models in homotopy theory
- Differential homological algebra and homogeneous spaces
- Infinitesimal computations in topology
- Lie algebras, coalgebras and rational homotopy theory for nilpotent spaces
- DGA algebras as a Quillen model category relations to shm maps
- Generalizing a definition of Lusternik and Schnirelmann to model categories
- A remark on 'homotopy fibrations'
- A generalization of the homology and homotopy suspension
- Lusternik-Schnirelmann category and strong category
- Some examples for weak category and conilpotency
- Homotopical algebra
- Rational homotopy theory
- The homotopy category is a homotopy category
- Lectures on minimal models
- NOTES ON HOMOTOPY PULL-BACKS
- Adams' Cobar Equivalence
- A Generalisation of Ganea's Theorem on the Mapping Cone of the Inclusion of a Fibre
- On 𝑃𝐿 de Rham theory and rational homotopy type
- Pull-Backs in Homotopy Theory
- Numerical Invariants In Homotopical Algebra, II-Applications
- Rational Fibrations, Minimal Models, and Fibrings of Homogeneous Spaces
- Rational L.-S. Category and Its Applications
- Note on Cofibrations.
- Note on Cofibrations II.
- The category of a map and of a cohomology class
- Abstract homotopy theory and generalized sheaf cohomology
- On the Lusternik-Schnirelmann category
This page was built for publication: L.S.-category in a model category