Let A be an abelian category such that every object has only finitely many subobjects. From A we construct a semisimple tensor category T . We show that T interpolates the categories Rep(Aut(p), K) where p runs through certain projective pro-objects of A. This extends a construction of Deligne for symmetric groups.

In this paper, we introduce the concepts of saturated T syntopogenous spaces and we prove basic properties of this spaces. We show that the category of perfect saturated T -syntopogenous spaces is isomorphic to category of I -topological spaces 2010 AMS Classification: 54A40

In this work, we describe an adjunction between the comma category of Set-based monads under the V -powerset monad and the category of associative lax extensions of Set-based monads to the category of V -relations. In the process, we give a general construction of the Kleisli extension of a monad to the category of V-relations.

To any finite group G SL2ðCÞ and each element t in the center of the group algebra of G, we associate a category, CohðP G;t ;PÞ: It is defined as a suitable quotient of the category of graded modules over (a graded version of) the deformed preprojective algebra introduced by Crawley-Boevey and Holland. The category CohðP G;t ;PÞ should be thought of as the category of coherent sheaves on a ‘non...

Accepted for publication 15 September 1992 Abstract From 1986 to 1990 a prospective comparative study was undertaken to compare the relative accuracy of computed tomography, endogastric ultrasonography, and intraoperative surgical assessment in evaluating the depth of invasion (T category) and involvement of lymph nodes (N category) of patients with gastric carcinoma. One hundred and eight cons...