Triangulated categories without models

By F. Muro, S. Schwede, N. Strickland. 2007

52 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3e200766489808bac2867b2bc441d39a7a0dd050

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. P. Stellari
2. Alberto Canonaco

In Geometry and Topology

1. Alberto Canonaco
2. P. Stellari
3. D. Huybrechts
4. Emanuele Macrì
5. Alexander Kuznetsov
6. Arend Bayer

In Mathematical Physics

1. Alberto Canonaco
2. P. Stellari
3. D. Huybrechts
4. Emanuele Macrì
5. Alexander Kuznetsov
6. Arend Bayer

Citations in the corpus

• A tour about existence and uniqueness of dg enhancements and lifts (2016, background): “On the other hand, the main result of [43] shows that there is a Z-linear triangulated category which is not topological.”