Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389552 | Fuzzy Sets and Systems | 2016 | 12 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Jan Paseka, Sergey A. Solovyov,