Triangulated categories without models

Details Triangulated categories without models Triangulated categories without models

2007-04-11

arxiv.org/abs/0704.1378v2

Inventiones Mathematicae, Vol. 170 (2007), No. 2, pp. 231-241

Mathematics

Algebraic Topology

10 pages

Scientific paper

10.1007/s00222-007-0061-2

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.

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