论文标题
稳定的Infinity类别的T结构
t-structures on stable infinity-categories
论文作者
论文摘要
目前的工作将 * faisceaux Pervers *中给出的经典定义 *的T结构的经典理论重新构成，以下是一个相当原始的分类小工具：合适的反射性分解系统。仅由于无限类型环境的优点，这种翻译才有可能。一旦开发了T结构的基本理论，研究的自然方向是在“以托西奥为中心”的角度开发对T结构的全面处理：我们将分解系统的技术应用于后尼科夫塔理论，以证明T结构的Abelianity the thoctiture the Bridgeland of Bridgeland的稳定性条件。
The present work re-enacts the classical theory of t-structures reducing the classical definition given in *Faisceaux Pervers* to a rather primitive categorical gadget: suitable reflective factorization systems. This translation is only possible due to the virtues of the infinity-categorical setting. Once the basic theory of t-structure has been developed, a natural direction of research is to develop a comprehensive treatment of t-structure in the "torsio-centric" perspective: we apply the technology of factorization systems to the theory of Postnikov towers, to the proof of the abelianity of the heart of a t-structure, and to the theory of Bridgeland's stability conditions.
