Informace o publikaci
On the category of lattice-valued bornological vector spaces
| Autoři | |
|---|---|
| Rok publikování | 2014 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Journal of Mathematical Analysis and Applications |
| Fakulta / Pracoviště MU | |
| Citace | PASEKA, Jan, Sergejs SOLOVJOVS a Milan STEHLIK. On the category of lattice-valued bornological vector spaces. Journal of Mathematical Analysis and Applications. the Netherlands: Elsevier, 2014, roč. 419, č. 1, s. 138-155. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2014.04.033. |
| Doi | http://dx.doi.org/10.1016/j.jmaa.2014.04.033 |
| Obor | Obecná matematika |
| Klíčová slova | Cartesian closed category; Continuous lattice; Hausdorff dimension; L-bornological space; L-bornological system; Topologically algebraic category; Vector space |
| Popis | Motivated by the theory of L-bornological spaces of M. Abel and A. Sostak over a complete lattice L, and the concept of topological system of S. Vickers, this paper introduces the categories of L-bornological vector spaces and systems, and shows that the former is isomorphic to a full reflective subcategory of the latter. |