English

Triangulated categories without models

Algebraic Topology 2011-11-09 v2 Category Theory K-Theory and Homology

Abstract

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.

Keywords

Cite

@article{arxiv.0704.1378,
  title  = {Triangulated categories without models},
  author = {Fernando Muro and Stefan Schwede and Neil Strickland},
  journal= {arXiv preprint arXiv:0704.1378},
  year   = {2011}
}

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10 pages