Publication details
Lattice-valued bornological systems
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Fuzzy Sets and Systems |
| MU Faculty or unit | |
| Citation | |
| Web | http://dx.doi.org/10.1016/j.fss.2014.09.006 |
| Doi | http://dx.doi.org/10.1016/j.fss.2014.09.006 |
| Field | General mathematics |
| Keywords | Adjoint functor; (Lattice-valued) bornological space; (Lattice-valued) topological system; Locale; Localification and spatialization of topological systems; Point-free topology; Reflective subcategory |
| Description | 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. |