ACS
2000
13 years 7 months ago
2000
Abstract. We develop a general setting for the treatment of extensions of categories by means of freely adjoined morphisms. To this end, we study what we call composition graphs, i...
ACS
2000
13 years 7 months ago
2000
ACS
2002
13 years 7 months ago
2002
cal Abstract Algebraic Logic: Algebraizable Institutions To Don Pigozzi this work is dedicated GEORGE VOUTSADAKIS Department of Mathematics, Iowa State University, Ames, IA 50011 U...
ACS
2002
13 years 7 months ago
2002
Abstract. A categorical version of the famous theorem of Stone and Weierstrass is formulated and studied in detail. Several applications and examples are given.
ACS
2002
13 years 7 months ago
2002
ACS
2002
13 years 7 months ago
2002
We define the notions of Azumaya category and Brauer group in category theory enriched over some very general base category V. We prove the equivalence of various definitions, in ...
ACS
2004
13 years 7 months ago
2004
Threshold agent networks (TANs) constitute a discretized modification of threshold (also known as neural) networks that are appropriate for modeling computer simulations. In this p...
ACS
2004
13 years 7 months ago
2004
There is a construction which lies at the heart of descent theory. The combinatorial aspects of this paper concern the description of the construction in all dimensions. The descr...
ACS
2004
13 years 7 months ago
2004
: We characterize the (effective) E-descent morphisms in the category Cat of small categories, when E is the class of discrete fibrations or the one of discrete cofibrations, and p...
ACS
2004
13 years 7 months ago
2004
We consider pseudo-descent in the context of 2-fibrations. A 2-category of descent data is associated to a 3-truncated simplicial object in the base 2-category. A morphism q in the...