The present work re-enacts the classical theory of t-structures reducing the classical definition coming from Algebraic Geometry to a rather primitive categorical gadget: suitable reflective factorization systems (defined in the work of Rosický, Tholen, and Cassidy-Hébert-Kelly), which we call "normal torsion theories" following. A relation between these two objects has previously been noticed by other authors, on the level of the triangulated homotopy categories of stable (infinity,1)-categories. The main achievement of the present thesis is to observe and prove that this relation exists genuinely when the definition is lifted to the higher-dimensional world where the notion of triangulated category comes from.
t-structures on stable (infinity,1)-categories / Loregian, Fosco. - (2016 Jun 27).
Autori: | |
Autori: | Loregian, Fosco |
Titolo: | t-structures on stable (infinity,1)-categories |
Relatore/i interni: | |
Data di pubblicazione: | 27-giu-2016 |
Appare nelle tipologie: | 8.1 PhD thesis |
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