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).
|Titolo:||t-structures on stable (infinity,1)-categories|
|Data di pubblicazione:||27-giu-2016|
|Appare nelle tipologie:||8.1 PhD thesis|