Publication details
Categorical foundations of variety-based bornology
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Fuzzy Sets and Systems |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.fss.2015.07.011 |
| Field | General mathematics |
| Keywords | Bornological space; Bornological system; Bornological theory; Ideal; Powerset theory; Reflective subcategory; System spatialization procedure; Topological category; Variety of algebras |
| Attached files | |
| Description | Following the concept of topological theory of S.E. Rodabaugh, this paper introduces a new approach to (lattice-valued) bornology, which is based in bornological theories, and which is called variety-based bornology. In particular, motivated by the notion of topological system of S. Vickers, we introduce the concept of variety-based bornological system, and show that the category of variety-based bornological spaces is isomorphic to a full reflective subcategory of the category of variety-based bornological systems. (C) 2015 Elsevier B.V. All rights reserved. |
| Related projects: |