AbstractThe topological geometrical categories form a special class of topological categories over Set and a special class of concrete geometrical categories. They are described in an abstract way with their morphisms forming a complete regular legitimate category TGC. They are proved to be precisely the categories of affine sets over a fixed algebra for a many-sorted infinitary algebraic theory
Bibliography: pages 74-77.Chapter 0 contains a summary of well-known terminology which will subseque...
AbstractIn order to describe the finite character of geometrical objects, the notions of finitely co...
Abstract. This paper introduces a new approach to topology, based on category theory and universal a...
AbstractThis is a survey for the working mathematician of the theory of initially complete categorie...
AbstractIt is shown that a development of universal topological algebra, based in the obvious way on...
Tensor C*-categories are the result of work to recast the fundamental theory of operator algebras in...
AbstractA geometry structure on a category is defined in analogy with the structure of geometric lat...
While the study of traditional category theory is focused on certain abstract categories and the fun...
AbstractIn this paper necessary and sufficient conditions are given on a concrete category over a ca...
AbstractLet λ be a finitary geometric theory and δ its classifying topos. We prove that δ is Boolean...
AbstractWe motivate and define a category of topological domains, whose objects are certain topologi...
We axiomatize the extended operators in topological orders (possibly gravitationally anomalous, poss...
The standard presentation of topological spaces relies heavily on (naïve) set theory: a topology con...
In this work we develop the higher categorical language aiming to apply it in the foundations of phy...
We motivate and define a category of "topological domains", whose objects are certain topological sp...
Bibliography: pages 74-77.Chapter 0 contains a summary of well-known terminology which will subseque...
AbstractIn order to describe the finite character of geometrical objects, the notions of finitely co...
Abstract. This paper introduces a new approach to topology, based on category theory and universal a...
AbstractThis is a survey for the working mathematician of the theory of initially complete categorie...
AbstractIt is shown that a development of universal topological algebra, based in the obvious way on...
Tensor C*-categories are the result of work to recast the fundamental theory of operator algebras in...
AbstractA geometry structure on a category is defined in analogy with the structure of geometric lat...
While the study of traditional category theory is focused on certain abstract categories and the fun...
AbstractIn this paper necessary and sufficient conditions are given on a concrete category over a ca...
AbstractLet λ be a finitary geometric theory and δ its classifying topos. We prove that δ is Boolean...
AbstractWe motivate and define a category of topological domains, whose objects are certain topologi...
We axiomatize the extended operators in topological orders (possibly gravitationally anomalous, poss...
The standard presentation of topological spaces relies heavily on (naïve) set theory: a topology con...
In this work we develop the higher categorical language aiming to apply it in the foundations of phy...
We motivate and define a category of "topological domains", whose objects are certain topological sp...
Bibliography: pages 74-77.Chapter 0 contains a summary of well-known terminology which will subseque...
AbstractIn order to describe the finite character of geometrical objects, the notions of finitely co...
Abstract. This paper introduces a new approach to topology, based on category theory and universal a...
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