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ACS
2004
13 years 10 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 10 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 10 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 10 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
ACS
2004
13 years 10 months ago
On Hereditary Coreflective Subcategories of Top
Let A be a topological space which is not finitely generated and CH(A) denote the coreflective hull of A in Top. We construct a generator of the coreflective subcategory SCH(A) con...
Martin Sleziak
ACS
2004
13 years 10 months ago
Components of the Fundamental Category
Inthis article westudy the fundamental category (Goubault and Raussen, 2002 Goubault, 2002) of a partially ordered topological space (Nachbin, 1965 Johnstone, 1982), as arising in ...
Lisbeth Fajstrup, Martin Raußen, Eric Goubau...
ACS
2004
13 years 10 months ago
Pointfree Spectra of Riesz Spaces
One of the best ways of studying ordered algebraic structures is through their spectra. The three well-known spectra usually considered are the Brumfiel, Keimel, and the maximal sp...
M. Mehdi Ebrahimi, A. Karimi, Mojgan Mahmoudi
ACS
2004
13 years 10 months ago
Residually Small Varieties Without Rank
Subdirect representations are investigated in varieties which are defined by operations of not necessarily finite arity. It is shown that, in this context, Birkhoff's Subdire...
Hans-E. Porst
ACS
2004
13 years 10 months ago
One Setting for All: Metric, Topology, Uniformity, Approach Structure
For a complete lattice V which, as a category, is monoidal closed, and for a suitable Setmonad T we consider (T, V)-algebras and introduce (T, V)-proalgebras, in generalization of...
Maria Manuel Clementino, Dirk Hofmann, Walter Thol...