Brown representability often fails for homotopy categories of complexes

DOI10.1017/is011010026jkt167zbMath1250.18015arXiv1012.4109OpenAlexW3100521346MaRDI QIDQ3225512

George Ciprian Modoi, Jan Šťovíček

Publication date: 21 March 2012

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4109

zbMATH Keywords

Brown representabilitytriangulated categoryadjoint functorhomotopy category of complexes

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items (4)

The dual of Brown representability for homotopy categories of complexes ⋮ The dual of Brown representability for some derived categories ⋮ $\Sigma $-pure injectivity and Brown representability ⋮ Constructing cogenerators in triangulated categories and Brown representability

Cites Work

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• Rings of pure global dimension zero and Mittag-Leffler modules
• On exact categories and applications to triangulated adjoints and model structures
• The homotopy category of flat modules, and Grothendieck duality
• Some adjoints in homotopy categories
• Brown representability does not come for free
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Triangulated Categories
• Idempotent completion of triangulated categories

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