A theoretical framework for proper homotopy theory

DOI10.1017/S0305004100068754zbMath0708.55017OpenAlexW2164521807MaRDI QIDQ3490640

No author found.

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1017/s0305004100068754

zbMATH Keywords

proper homotopy theoryPuppe sequencescofibration categoriesProper homotopy groupsProper homotopy type

Mathematics Subject Classification ID

Homotopy theory (55P99) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Homotopy groups of special types (55Q70)

Related Items

Proper homotopy exact sequences for proper fibrations ⋮ 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 ⋮ A closed simplicial model category for proper homotopy and shape theories ⋮ On the Ganea strong category in proper homotopy ⋮ Brown representability for exterior cohomology and cohomology with compact supports ⋮ The proper L-S category of Whitehead manifolds ⋮ Proper L--S category, fundamental pro-groups and 2-dimensional proper co-H-spaces

Cites Work

• Cech and Steenrod homotopy and the Quigley exact couple in strong shape and proper homotopy theory
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• Über die Enden topologischer Räume und Gruppen
• Homotopical algebra
• On detecting Euclidean space homotopically among topological manifolds
• Semistability at the End of A Group Extension
• On the Proper Steenrod Homotopy Groups, and Proper Embeddings of Planes Into 3-Manifolds
• On Proper Homotopy Theory for Noncompact 3-Manifolds
• Note on Cofibrations.
• Note on Cofibrations II.