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ACS
2000
13 years 5 months ago
Free Adjunction of Morphisms
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...
Lutz Schröder, Horst Herrlich
ACS
2002
13 years 5 months ago
Categorical Abstract Algebraic Logic: Algebraizable Institutions
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...
George Voutsadakis
ACS
2002
13 years 5 months ago
On a Generalization of the Stone-Weierstrass Theorem
Abstract. A categorical version of the famous theorem of Stone and Weierstrass is formulated and studied in detail. Several applications and examples are given.
Dirk Hofmann
ACS
2002
13 years 5 months ago
Azumaya Categories
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 ...
Francis Borceux, Enrico Vitale
ACS
2004
13 years 5 months ago
A Categorical Approach to Threshold Agent Networks
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...
George Voutsadakis
ACS
2004
13 years 5 months ago
Categorical and Combinatorial Aspects of Descent Theory
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...
Ross Street
ACS
2004
13 years 5 months ago
Descent for Discrete (Co)fibrations
: 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...
Manuela Sobral
ACS
2004
13 years 5 months ago
Descent on 2-Fibrations and Strongly 2-Regular 2-Categories
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...
Claudio Hermida