Categorical foundations of variety-based bornology

Warning

This publication doesn't include Faculty of Sports Studies. 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
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:

You are running an old browser version. We recommend updating your browser to its latest version.

More info