t-Structures are Normal Torsion Theories

Abstract. We characterize t-structures in stable ∞-categories as suitable quasicategorical factorization systems. More precisely we show that a t-structure t on a stable ∞-category C is equivalent to a normal torsion theory F on C, i.e. to a factorization system F = (E, M) where both classes satisfy the 3-for-2 cancellation property, and a certain compatibility with pullbacks/pushouts.

• Type: Journal
• Year: 2016
• Where: ACS
• Authors: Domenico Fiorenza, Fosco Loregiàn
• Keywords: ACS 2016, Distributed And Parallel Computing