Triangulated categories without models , by Fernando Muro , Stefan Schwede , and Neil Strickland

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.


Fernando Muro <fmuro@ub.edu >
Stefan Schwede <schwede@math.uni-bonn.de >
Neil Strickland <n.p.strickland@sheffield.ac.uk >