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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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