Proper L--S category, fundamental pro-groups and 2-dimensional proper co-H-spaces

DOI10.1016/J.TOPOL.2005.01.032zbMath1088.55002OpenAlexW2076802081MaRDI QIDQ817624

Antonio Quintero, Manuel Cárdenas, Fernando Muro, Francisco F. Lasheras

Publication date: 16 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.01.032

zbMATH Keywords

co-H-spaceproper homotopy theoryLusternik-Schnirelmann categoryfree towerWhitehead \(n\)-type

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) (H)-spaces and duals (55P45) Proper homotopy theory (55P57)

Related Items (7)

A note on group extensions and proper 3-realizability ⋮ Detecting cohomology classes for the proper LS category. The case of semistable 3-manifolds ⋮ Relating the Freiheitssatz to the asymptotic behavior of a group ⋮ Quasi-isometries and proper homotopy: The quasi-isometry invariance of proper $3$-realizability of groups ⋮ Properly 3-realizable groups ⋮ A topological equivalence relation for finitely presented groups ⋮ The proper L-S category of Whitehead manifolds

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