TY - THES T1 - t-structures on stable (infinity,1)-categories Y1 - 2016 A1 - Fosco Loregian KW - category theory, higher category theory, factorization system, torsion theory, homological algebra, higher algebra AB - 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. PB - SISSA UR - http://urania.sissa.it/xmlui/handle/1963/35202 U1 - 35477 U2 - Mathematics U4 - 1 U5 - MAT/03 ER -