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math.CT2016
Enrichment and representability for triangulated categories
Johan Steen, Greg Stevenson
Given a fixed tensor triangulated category S we consider triangulated categories T together with an S-enrichment which is compatible with the triangulated structure of T. It is sho…
math.RT2016
Comparisons between singularity categories and relative stable categories of finite groups
Shawn Baland, Greg Stevenson
We consider the relationship between the relative stable category of Benson, Iyengar, and Krause and the usual singularity category for group algebras with coefficients in a commut…
math.CT2016
The local-to-global principle for triangulated categories via dimension functions
Greg Stevenson
We formulate a general abstract criterion for verifying the local-to-global principle for a rigidly-compactly generated tensor triangulated category. Our approach is based upon an…