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Triangulated categories without models

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arxiv 0704.1378 v2 pith:TXITVVCK submitted 2007-04-11 math.AT math.CTmath.KT

Fernando Muro , Stefan Schwede , Neil Strickland This is my paper · ORCID
classification math.ATmath.CTmath.KT
keywords categorytriangulatedcategoriesexamplesstableadmitalgebraicdrastically
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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.

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