Publication details
On the category of lattice-valued bornological vector spaces
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Mathematical Analysis and Applications |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.jmaa.2014.04.033 |
| Field | General mathematics |
| Keywords | Cartesian closed category; Continuous lattice; Hausdorff dimension; L-bornological space; L-bornological system; Topologically algebraic category; Vector space |
| Description | 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. |