Informace o publikaci
Lattice-valued bornological systems
| Autoři | |
|---|---|
| Rok publikování | 2015 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Fuzzy Sets and Systems |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://dx.doi.org/10.1016/j.fss.2014.09.006 |
| Doi | http://dx.doi.org/10.1016/j.fss.2014.09.006 |
| Obor | Obecná matematika |
| Klíčová slova | Adjoint functor; (Lattice-valued) bornological space; (Lattice-valued) topological system; Locale; Localification and spatialization of topological systems; Point-free topology; Reflective subcategory |
| Popis | 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. |