Brown representability follows from Rosický's theorem

DOI10.1112/JTOPOL/JTP009zbMath1179.18005OpenAlexW1995938871MaRDI QIDQ3391673

Amnon Neeman

Publication date: 12 August 2009

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jtopol/jtp009

zbMATH Keywords

Brown representabilitytriangulated categoryhomological functorsrepresentable functorcombinatorial stable model categoryFreyd-style representability theoremRosický functorsuspension-closed setswell generated category

Mathematics Subject Classification ID

Related Items (10)

Weight structures cogenerated by weak cocompact objects ⋮ Partial Serre duality and cocompact objects ⋮ The dual of Brown representability for homotopy categories of complexes ⋮ Combinatorial Homotopy Categories ⋮ On the abelianization of derived categories and a negative solution to Rosický’s problem ⋮ The dual of Brown representability for some derived categories ⋮ Transfinite Adams representability ⋮ Representability theorems, up to homotopy ⋮ The dual of the homotopy category of projective modules satisfies Brown representability ⋮ Constructing cogenerators in triangulated categories and Brown representability

Cites Work

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• Cohomology theories
• Brown representability does not come for free
• Ideals in triangulated categories: Phantoms, ghosts and skeleta
• A Brown representability theorem via coherent functors
• Relative homological algebra and purity in triangulated categories
• On the Representability of Homotopy Functors
• On Neeman's well generated triangulated categories
• On the Brown representability theorem for triangulated categories

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