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@article{1368660,
author = {Paseka, Jan and Solovjovs, Sergejs},
article_location = {AMSTERDAM},
article_number = {May},
doi = {http://dx.doi.org/10.1016/j.fss.2015.07.011},
keywords = {Bornological space; Bornological system; Bornological theory; Ideal; Powerset theory; Reflective subcategory; System spatialization procedure; Topological category; Variety of algebras},
language = {eng},
issn = {0165-0114},
journal = {Fuzzy Sets and Systems},
title = {Categorical foundations of variety-based bornology},
volume = {291},
year = {2016}
}
TY - JOUR
ID - 1368660
AU - Paseka, Jan - Solovjovs, Sergejs
PY - 2016
TI - Categorical foundations of variety-based bornology
JF - Fuzzy Sets and Systems
VL - 291
IS - May
SP - 132-143
EP - 132-143
PB - ELSEVIER SCIENCE BV
SN - 01650114
KW - Bornological space
KW - Bornological system
KW - Bornological theory
KW - Ideal
KW - Powerset theory
KW - Reflective subcategory
KW - System spatialization procedure
KW - Topological category
KW - Variety of algebras
N2 - 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.
ER -
PASEKA, Jan a Sergejs SOLOVJOVS. Categorical foundations of variety-based bornology. \textit{Fuzzy Sets and Systems}. AMSTERDAM: ELSEVIER SCIENCE BV, 2016, roč.~291, May, s.~132-143. ISSN~0165-0114. Dostupné z: https://dx.doi.org/10.1016/j.fss.2015.07.011.
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