论文标题

部分可观测时空混沌系统的无模型预测

T-structures on unbounded twisted complexes

论文作者

Genovese, Francesco

论文摘要

本文是W. Lowen和M. van den Bergh的同一位作者的“ T结构和扭曲的复合物”的续集。我们在DG类别上定义了无界扭曲复合物的DG类别,在派生的注射剂或与T结构相关的派生的投影剂的DG类别中,这尤其有趣。在如此无限的扭曲复合物上,我们定义了一种天然的“注入性”,并双重地将“投影”的T结构定义。这旨在直接概括Abelian类别的注射对象或投射对象的同拷贝类别。

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.

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