A Whitehead–Ganea approach for proper Lusternik–Schnirelmann category

DOI10.1017/S0305004106009960zbMath1143.55007OpenAlexW1604767112MaRDI QIDQ5292507

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Publication date: 21 June 2007

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

Full work available at URL: https://doi.org/10.1017/s0305004106009960

zbMATH Keywords

closed model categoryLusternik-Schnirelmann categoryproper categoryWhiteheadexterior categoryGanea.Proper homotopy theory

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) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Proper homotopy theory (55P57)

Related Items (7)

\(S\)-types of global towers of spaces and exterior spaces ⋮ Detecting cohomology classes for the proper LS category. The case of semistable 3-manifolds ⋮ Classification of exterior and proper fibrations ⋮ A remark on proper partitions of unity ⋮ The Ganea conjecture in proper homotopy via exterior homotopy theory ⋮ Exact sequences and closed model categories ⋮ Brown representability for exterior cohomology and cohomology with compact supports

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