Localization with respect to a class of maps. I: Equivariant localization of diagrams of spaces

DOI10.1007/BF02785361zbMath1276.55024arXivmath/0312196MaRDI QIDQ2382243

Boris Chorny

Publication date: 28 September 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312196

Mathematics Subject Classification ID

Related Items (7)

The model category of maps of spaces is not cofibrantly generated ⋮ A classification of small homotopy functors from spectra to spectra ⋮ Localization with respect to a class of maps. II: Equivariant cellularization and its application ⋮ Brown representability for space-valued functors ⋮ Homotopy theory of small diagrams over large categories ⋮ Homotopy theory of relative simplicial presheaves ⋮ A generalization of Quillen's small object argument

Cites Work

• Homotopy equivalence between diagrams of spaces
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• Cech and Steenrod homotopy theories with applications to geometric topology
• Constructions of factorization systems in categories
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• Topological hypercovers and \(\mathbb{A}^1\)-realizations
• Weak factorization systems and topological functors
• Cellular spaces, null spaces and homotopy localization
• Localization with respect to a class of maps. II: Equivariant cellularization and its application
• Equivariant cohomology theories
• Homotopical algebra
• Etale homotopy
• A model structure on the category of pro-simplicial sets
• Etale Homotopy of Simplicial Schemes. (AM-104)
• Homotopy Theories for Diagrams of Spaces
• Equivariant Localization
• Calculating limits and colimits in pro-categories
• Quillen model structures for relative homological algebra
• The model category of maps of spaces is not cofibrantly generated
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