# A Cartesian Closed Category of Event Structures with Quotients

## Related Articles

- A Cartesian Closed Category of Event Structures with Quotients. Abbes, Samy // Discrete Mathematics & Theoretical Computer Science (DMTCS);Jun2006, Vol. 8 Issue 3, p249
We introduce a new class of morphisms for event structures. The category obtained is cartesian closed, and a natural notion of quotient event structure is defined within it. We study in particular the topological space of maximal configurations of quotient event structures. We introduce the...

- On a new category of fuzzy sets. Agnes, A. R. Porselvi; Sivaraj, D.; Chelvam, T. Tamizh // Journal of Advanced Research in Pure Mathematics;2010, Vol. 2 Issue 4, p73
We introduce the concept of a morphism between fuzzy sets, which enables us to define the category of fuzzy sets. Next, we give elementwise characterization of some special morphisms in this category which will be useful for later studies. We prove that unlike the category of sets, this category...

- Fuzzy Generalized Preregular Continuous Mappings in Fuzzy Topological Spaces. Vadivel, A.; Devi, K.; Sivakumar, D. // Journal of Advanced Studies in Topology;2013, Vol. 4 Issue 1, p22
In this paper the concepts of fgpr-continuous, fgpr-irresolute functions and fgpr-homeomorphism have been introduced and studied. we also introduce the concepts of fgpr-open and fgpr-closed mappings in fuzzy topological spaces.

- THE FUNDAMENTAL 2-CROSSED COMPLEX OF A REDUCED CW-COMPLEX. MARTINS, JOÃO FARIA // Homology, Homotopy & Applications;2011, Vol. 13 Issue 2, p129
We define the fundamental 2-crossed complex Î©âˆž(X) of a reduced CW-complex X from Ellis' fundamental squared complex Ïâˆž(X) thereby proving that Î©âˆž(X) is totally free on the set of cells of X. This fundamental 2-crossed complex has very good properties with regard to the...

- On the groups of codes with empty kernel. Berstel, Jean; De Felice, Clelia; Perrin, Dominique; Rindone, Giuseppina // Semigroup Forum;Jun2010, Vol. 80 Issue 3, p351
An internal factor of a word x is a word v such that x= uvw for some nonempty words u, w. The kernel of a set X of words is the set of words of X which are internal factors of words of X. Let Ï† be the syntactic morphism of the submonoid X* generated by X. We prove that if X is a code with...

- Tree-systems of morphisms. Dassow, Jürgen; Păun, Gheorghe; Thierrin, Gabriel; Yu, Sheng // Acta Informatica;2001, Vol. 38 Issue 2, p131
Starting from the idea of determinism in membrane systems, we introduce a language generating device consisting of morphisms placed in the nodes of a tree. Initial strings are given in the leaves; by iteratively applying the morphisms to them, we produce new strings, which are collected in the...

- DESCENT FOR COMPACT 0-DIMENSIONAL SPACES. Janelidze, George; Sobral, Manuela // Theory & Applications of Categories;2008, Vol. 21, p182
Using the reflection of the category C of compact 0-dimensional topological spaces into the category of Stone spaces we introduce a concept of a fibration in C. We show that: (i) effective descent morphisms in C are the same as the surjective fibrations; (ii) effective descent morphisms in C...

- ANALYTIC FUNCTORS AND WEAK PULLBACKS. Adámek, J.; Velebil, J. // Theory & Applications of Categories;2008, Vol. 21, p191
For accessible set-valued functors it is well known that weak preservation of limits is equivalent to representability, and weak preservation of connected limits to familial representability. In contrast, preservation of weak wide pullbacks is equivalent to being a coproduct of quotients of...

- ON THE CONVERGENCE AND ADHERENCE OF GRILLS. Renukadevi, V. // Journal of Advanced Mathematical Studies;Feb2011, Vol. 4 Issue 1, p101
We define the convergence and adherence of grill in topological space with respect to the family of all a-open sets, semiopen sets, preopen sets, b-open sets and Î²-open sets, characterize such sets and discuss their properties.