Homotopy theory of small diagrams over large categories
From MaRDI portal
Publication:3617647
DOI10.1515/FORUM.2009.009zbMath1162.55014arXivmath/0607117MaRDI QIDQ3617647
William G. Dwyer, Boris Chorny
Publication date: 30 March 2009
Published in: Forum Mathematicum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0607117
simplicial setmodel categoryfunctor categoryhomotopy localizationPostnikov towersmall functorgeneralized small object argument
Abstract and axiomatic homotopy theory in algebraic topology (55U35) Equivariant homotopy theory in algebraic topology (55P91)
Related Items
On combinatorial model categories ⋮ On homotopy varieties ⋮ Calculus of functors and model categories ⋮ Limits of small functors ⋮ Class-locally presentable and class-accessible categories ⋮ Duality and small functors ⋮ Brown representability for space-valued functors ⋮ Models for the Maclaurin tower of a simplicial functor via a derived Yoneda embedding ⋮ Homotopy theory of relative simplicial presheaves ⋮ A generalization of Quillen's small object argument ⋮ A tower connecting gauge groups to string topology ⋮ The effective model structure and -groupoid objects ⋮ Cross effects and calculus in an unbased setting
Cites Work
- Limits of small functors
- Classifying pro-fibrations and shape fibrations
- Cartesian closed exact completions
- Constructions of factorization systems in categories
- Localization with respect to a class of maps. I: Equivariant localization of diagrams of spaces
- A generalization of Quillen's small object argument
- Calculus of functors and model categories
- Homotopy Theories for Diagrams of Spaces