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Brown representability follows from Rosický's theorem
Author(s) -
Neeman Am
Publication year - 2009
Publication title -
journal of topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.447
H-Index - 31
eISSN - 1753-8424
pISSN - 1753-8416
DOI - 10.1112/jtopol/jtp009
Subject(s) - mathematics , dual (grammatical number) , discrete mathematics , combinatorics , mathematical economics , pure mathematics , linguistics , philosophy
We prove that the dual of a well‐generated triangulated category satisfies Brown representability, as long as there is a combinatorial model. This settles the major open problem in [12]. We also prove that Brown representability holds for non‐dualized well‐generated categories, but that only amounts to the fourth known proof of the fact. The proof depends crucially on a new result of J. Rosický, Theory and Applications of Categories 14 (2005) no. 19, 451–479.