Title | t-Structures are Normal Torsion Theories |
Publication Type | Journal Article |
Year of Publication | 2016 |
Authors | Fiorenza, D, Loregian, F |
Journal | Applied Categorical Structures |
Volume | 24 |
Pagination | 181–208 |
Date Published | Apr |
ISSN | 1572-9095 |
Abstract | We characterize $t$-structures in stable ∞-categories as suitable quasicategorical factorization systems. More precisely we show that a $t$-structure $\mathcal{t}$ on a stable $\infty$-category $\mathbb{C}$ is equivalent to a normal torsion theory $\mathbf{F}$ on $\mathbb{C}$, i.e. to a factorization system $\mathbf{F} = (\mathcal{\epsilon}, \mathcal{M})$ where both classes satisfy the 3-for-2 cancellation property, and a certain compatibility with pullbacks/pushouts. |
URL | https://doi.org/10.1007/s10485-015-9393-z |
DOI | 10.1007/s10485-015-9393-z |
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