2007/04/30 by Fernando Muro, Stefan Schwede, Neil Strickland · 49 citations
Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic number #Algebraic structures and combinatorial models #Concrete category #Derived category #Functor #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Mathematical analysis #Mathematics #Model category #Pure mathematics #Subcategory #Triangulated category #math.AT #math.CT #math.KT #msc:18E30 #msc:55P42
paper · pdf · doi:10.1007/s00222-007-0061-2
published in Inventiones mathematicae 170(2), 231-241 (Springer Science+Business Media) · 10 pages
arxiv created 2007/05/09 · openalex publication_date 2007/05/30 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We exhibit examples of triangulated categories which are neither the stable category of a Frobenius category nor a full triangulated subcategory of the homotopy category of a stable model category. Even more drastically, our examples do not admit any non-trivial exact functors to or from these algebraic respectively topological triangulated categories.