Stable Infinity Categories
| dc.creator | Lurie, Jacob | |
| dc.date | 2006-08-09 | |
| dc.date | 2009-05-08 | |
| dc.date.accessioned | 2026-07-07T13:12:46Z | |
| dc.date.available | 2026-07-07T13:12:46Z | |
| dc.description | This paper is an expository account of the theory of stable infinity categories. We prove that the homotopy category of a stable infinity category is triangulated, and that the collection of stable infinity categories is closed under a variety of constructions. We also explain how to construct the derived category of an abelian category (with enough projective objects) as the homotopy category of a suitable stable infinity category; moreover, we characterize this stable infinity category by a universal mapping property. | |
| dc.description | 73 Pages; corrected some minor typographical and mathematical errors 2/10/07: added material on filtered objects and spectral sequences. 9/19/07: various minor changes. 5/8/9: Some of the material on constructing stabilizations has been made more explicit | |
| dc.identifier | https://arxiv.org/abs/math/0608228 | |
| dc.identifier | http://arxiv.org/abs/math/0608228 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229675 | |
| dc.subject | Category Theory | |
| dc.subject | Algebraic Topology | |
| dc.subject | 18E30 (Primary); 55U40 (Secondary) | |
| dc.title | Stable Infinity Categories | |
| dc.type | text |