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Paseka Jan, Solovjovs Sergejs
Original Title
Categorical foundations of variety-based bornology
Type
journal article in Web of Science
Language
English
Original Abstract
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.
Keywords
Bornological space; Bornological system; Bornological theory; Ideal; Powerset theory; Reflective subcategory; System spatialization procedure; Topological category; Variety of algebras
Authors
Released
1. 5. 2016
Publisher
ELSEVIER SCIENCE BV
Location
NETHERLANDS
ISBN
0165-0114
Periodical
Fuzzy Sets and Systems
Year of study
291
Number
1
State
Kingdom of the Netherlands
Pages from
132
Pages to
143
Pages count
11
BibTex
@article{BUT126462, author="Sergejs {Solovjovs}", title="Categorical foundations of variety-based bornology", journal="Fuzzy Sets and Systems", year="2016", volume="291", number="1", pages="132--143", doi="10.1016/j.fss.2015.07.011", issn="0165-0114" }