Brown representability for space-valued functors
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Publication:1955785
DOI10.1007/s11856-012-0063-7zbMath1269.18010arXiv0707.0904OpenAlexW3100887030MaRDI QIDQ1955785
Publication date: 18 June 2013
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.0904
Brown representabilitysimplicial setmodel categoryhomotopical localizationMayer-Vietoris propertyMilnor's wedge axiomsmall functor
Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Simplicial sets and complexes in algebraic topology (55U10) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Functor categories, comma categories (18A25)
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Cites Work
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- Representability theorems for presheaves of spectra
- Cohomology theories
- Homotopy equivalence between diagrams of spaces
- Calculus. II: Analytic functors
- Weak factorization systems and topological functors
- Localization with respect to a class of maps. I: Equivariant localization of diagrams of spaces
- Implications of large-cardinal principles in homotopical localization
- A generalization of Quillen's small object argument
- Homotopy theory of small diagrams over large categories
- Homotopy Theories for Diagrams of Spaces
- On the Representability of Homotopy Functors
- Brown representability and the Eilenberg-Watts theorem in homotopical algebra
- Generalized Homology Theories