Brown representability follows from Rosicky
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 [13]. We also prove that Brown representability holds for non-dualized well generated categories, but that only amounts...
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| Format: | article |
| Publication Date: | 2007 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:44071 |
| Online Access: | https://ddd.uab.cat/record/44071 |
| Access Level: | Open access |
| Keyword: | Mòduls projectius (Àlgebra) Mòduls injectius (Àlgebra) Homotopia |
| Summary: | 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 [13]. 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 Rosicky [14]. |
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