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arXiv:0704.1378 [math.AT]AbstractReferencesReviewsResources

Triangulated categories without models

Fernando Muro, Stefan Schwede, Neil Strickland

Published 2007-04-11, updated 2007-05-09Version 2

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.

Comments: 10 pages
Journal: Inventiones Mathematicae, Vol. 170 (2007), No. 2, pp. 231-241
Categories: math.AT, math.CT, math.KT
Subjects: 18E30, 55P42
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