Categorical foundations of variety-based bornology

Varování

Publikace nespadá pod Ústav výpočetní techniky, ale pod Přírodovědeckou fakultu. Oficiální stránka publikace je na webu muni.cz.

Autoři	PASEKA Jan SOLOVJOVS Sergejs
Rok publikování	2016
Druh	Článek v odborném periodiku
Časopis / Zdroj	Fuzzy Sets and Systems
Fakulta / Pracoviště MU	Přírodovědecká fakulta
Citace
Doi	http://dx.doi.org/10.1016/j.fss.2015.07.011
Obor	Obecná matematika
Klíčová slova	Bornological space; Bornological system; Bornological theory; Ideal; Powerset theory; Reflective subcategory; System spatialization procedure; Topological category; Variety of algebras
Přiložené soubory	On_a_topological_universe_of_L-bornological_spaces_final.pdf
Popis	Following the concept of topological theory of S.E. Rodabaugh, this paper introduces a new approach to (lattice-valued) bornology, which is based in bornological theories, and which is called variety-based bornology. In particular, motivated by the notion of topological system of S. Vickers, we introduce the concept of variety-based bornological system, and show that the category of variety-based bornological spaces is isomorphic to a full reflective subcategory of the category of variety-based bornological systems. (C) 2015 Elsevier B.V. All rights reserved.
Související projekty:	New approaches to residuated posets