2 papers
math.RT2023
Weak stability conditions and the space of chains of torsion classes
Aran Tattar, Hipolito Treffinger
In this paper we show an explicit relation between chains of torsion classes and weak stability conditions over an abelian category. In particular, up to a natural equivalence, the…
math.CT2019
Torsion pairs and quasi-abelian categories
Aran Tattar
We define torsion pairs for quasi-abelian categories and give several characterisations. We show that many of the torsion theoretic concepts translate from abelian categories to qu…