Ganea and Whitehead definitions for the tangential Lusternik-Schnirelmann category of foliations

DOI10.1016/j.topol.2010.03.007zbMath1205.55004arXiv0710.3722OpenAlexW2170540683MaRDI QIDQ972503

Enrique Macias-Virgós, Daniel Tanré, Jean-Pierre Doeraene

Publication date: 19 May 2010

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3722

zbMATH Keywords

Lusternik-Schnirelmann categoryClosed model categoryFoliationStratified spaceTangential category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Foliations in differential topology; geometric theory (57R30) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Related Items (1)

Sectional category of a class of maps

Cites Work

• L.S.-category in a model category
• Tangential category of foliations
• Homotopical algebra
• Partitions of unity in the theory of fibrations
• The homotopy category is a homotopy category
• TANGENTIAL LUSTERNIK–SCHNIRELMANN CATEGORY OF FOLIATIONS
• Invariants of the Lusternik-Schnirelmann Type and the Topology of Critical Sets
• Rational homotopical models and uniqueness
• Transverse Lusternik-Schnirelmann category of foliated manifolds
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