On the Ganea strong category in proper homotopy

DOI10.1017/S0013091500019623zbMath0898.55003OpenAlexW2062928096MaRDI QIDQ4400084

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Publication date: 2 August 1998

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500019623

zbMATH Keywords

Lyusternik-Shnirel'man categoryproper mapproper homotopyGanea strong category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Special maps on topological spaces (open, closed, perfect, etc.) (54C10)

Related Items (4)

Detecting cohomology classes for the proper LS category. The case of semistable 3-manifolds ⋮ The Ganea conjecture in proper homotopy via exterior homotopy theory ⋮ The proper L-S category of Whitehead manifolds ⋮ Proper L--S category, fundamental pro-groups and 2-dimensional proper co-H-spaces

Cites Work

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• Semistability at the End of A Group Extension
• HUREWICZ THEOREM FOR HOMOLOGY AT INFINITY
• Invariants of the Lusternik-Schnirelmann Type and the Topology of Critical Sets
• OPEN 3-MANIFOLDS WHICH ARE 1-CONNECTED AT INFINITY
• On the Lusternik-Schnirelmann category

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