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- Title
T-structures on unbounded twisted complexes.
- Authors
Genovese, Francesco
- Abstract
This paper is a sequel to T-structures and twisted complexes on derived injectives by the same author with W. Lowen and M. Van den Bergh. We define a dg-category of unbounded twisted complexes on a dg-category, which is particularly interesting in the case of dg-categories of derived injectives or derived projectives associated to a t-structure. On such unbounded twisted complexes we define a natural “injective” and dually a “projective” t-structure. This is intended as a direct generalization of the homotopy categories of injective or projective objects of an abelian category.
- Subjects
ABELIAN categories; GENERALIZATION
- Publication
Mathematische Zeitschrift, 2023, Vol 305, Issue 2, p1
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-023-03340-4