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@article{1219962,
author = {Paseka, Jan and Solovjovs, Sergejs and Stehlík, Milan},
article_number = {January},
doi = {http://dx.doi.org/10.1016/j.fss.2014.09.006},
keywords = {Adjoint functor; (Lattice-valued) bornological space; (Lattice-valued) topological system; Locale; Localification and spatialization of topological systems; Point-free topology; Reflective subcategory},
language = {eng},
issn = {0165-0114},
journal = {Fuzzy Sets and Systems},
title = {Lattice-valued bornological systems},
url = {http://dx.doi.org/10.1016/j.fss.2014.09.006},
volume = {259},
year = {2015}
}
TY - JOUR
ID - 1219962
AU - Paseka, Jan - Solovjovs, Sergejs - Stehlík, Milan
PY - 2015
TI - Lattice-valued bornological systems
JF - Fuzzy Sets and Systems
VL - 259
IS - January
SP - 68-88
EP - 68-88
SN - 01650114
KW - Adjoint functor
KW - (Lattice-valued) bornological space
KW - (Lattice-valued) topological system
KW - Locale
KW - Localification and spatialization of topological systems
KW - Point-free topology
KW - Reflective subcategory
UR - http://dx.doi.org/10.1016/j.fss.2014.09.006
L2 - http://dx.doi.org/10.1016/j.fss.2014.09.006
N2 - Motivated by the concept of lattice-valued topological system of J.T. Denniston, A. Melton, and S.E. Rodabaugh, which extends lattice-valued topological spaces, this paper introduces the notion of lattice-valued bornological system as a generalization of lattice-valued bornological spaces of M. Abel and A. Šostak. We aim at (and make the first steps towards) the theory, which will provide a common setting for both lattice-valued point-set and point-free bornology. In particular, we show the algebraic structure of the latter.
ER -
PASEKA, Jan, Sergejs SOLOVJOVS a Milan STEHLÍK. Lattice-valued bornological systems. \textit{Fuzzy Sets and Systems}. 2015, roč.~259, January, s.~68-88. ISSN~0165-0114. Dostupné z: https://dx.doi.org/10.1016/j.fss.2014.09.006.
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