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 -