Categorical foundations of variety-based bornology

Warning

This publication doesn't include Faculty of Arts. It includes Faculty of Science. Official publication website can be found on muni.cz.

Authors	PASEKA Jan SOLOVJOVS Sergejs
Year of publication	2016
Type	Article in Periodical
Magazine / Source	Fuzzy Sets and Systems
MU Faculty or unit	Faculty of Science
Citation
Doi	http://dx.doi.org/10.1016/j.fss.2015.07.011
Field	General mathematics
Keywords	Bornological space; Bornological system; Bornological theory; Ideal; Powerset theory; Reflective subcategory; System spatialization procedure; Topological category; Variety of algebras
Attached files	On_a_topological_universe_of_L-bornological_spaces_final.pdf
Description	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.
Related projects:	New approaches to residuated posets