Let T be a tilting object in a triangulated category which is equivalent to the bounded derived category of a finite-dimensional hereditary algebra. The text investigages the strong global dimension, in the sense of Ringel, of the opposite algebra A of the endomorphism algebra of T . This invariant is expressed in terms of the lengths of the sequences T0, . . . , Tl of tilting objects such that...

We prove that, in the category of groups, the composition of a cellularization and a localization functor need not be idempotent. This provides a negative answer to a question of Emmanuel Dror Farjoun.

Combined/complex malformations Klippel-Trenaunay syndrome (capillary-lymphatico-venous malformation) Proteus syndrome Maffucci syndrome Table 110.1: Classification of lymphatic malformations. Introduction Lymphangiomas are developmental defects of the lymphatic channels that belong to a large spectrum of vascular malformations. They are most commonly located in the head and neck region, and to ...