Central Support for Triangulated Categories

Author:

Krause Henning1

Affiliation:

1. Fakultät für Mathematik , Universität Bielefeld, D-33501 Bielefeld, Germany

Abstract

Abstract For any essentially small triangulated category, the centre of its lattice of thick subcategories is introduced; it is a spatial frame and yields a notion of central support. A relative version of this centre recovers the support theory for tensor triangulated categories and provides a universal notion of cohomological support. Along the way, we establish Mayer–Vietoris sequences for pairs of commuting subcategories.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference28 articles.

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