The Ganea conjecture in proper homotopy via exterior homotopy theory

DOI10.1017/S0305004110000174zbMath1204.55003OpenAlexW2139974619WikidataQ123262353 ScholiaQ123262353MaRDI QIDQ3577731

Pedro Ruymán García Díaz, Jose M. García-Calcines, Aniceto Murillo-Mas

Publication date: 23 July 2010

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

Full work available at URL: https://doi.org/10.1017/s0305004110000174

zbMATH Keywords

proper homotopyGanea conjecture

Mathematics Subject Classification ID

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

Related Items (2)

Classification of exterior and proper fibrations ⋮ Brown representability for exterior cohomology and cohomology with compact supports

Cites Work

• Lusternik-Schnirelmann invariants in proper homotopy
• The proper L-S category of Whitehead manifolds
• L.S.-category in a model category
• Cech and Steenrod homotopy theories with applications to geometric topology
• Suspension of Ganea fibrations and a Hopf invariant
• Closed simplicial model structures for exterior and proper homotopy theory
• The homotopy category is a homotopy category
• Postnikov factorizations at infinity
• A theoretical framework for proper homotopy theory
• Ganea's Conjecture on Lusternik-Schnirelmann Category
• Applications of Simplicial M-Sets to Proper and Strong Shape Theories
• A closed simplicial model category for proper homotopy and shape theories
• On the Ganea strong category in proper homotopy
• A Whitehead–Ganea approach for proper Lusternik–Schnirelmann category

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