Research and Innovation Articles
Published 2021-05-19
Keywords
- Topological categories,
- constructs,
- adjunctions
How to Cite
Angulo Perkins, E., & Angoa Amador, J. (2021). Topological Relations. Revista Integración, Temas De matemáticas, 39(1), 79–89. https://doi.org/10.18273/revint.v39n1-2021006
Copyright (c) 2021 Revista Integración, temas de matemáticas
This work is licensed under a Creative Commons Attribution 4.0 International License.
Abstract
A family of constructs is proposed that generalizes the notion of closure operator associated to a partial order. The constructs of the family (and some of its sub constructs) hold adjoint relations with Gconv which ensure a topological resemblance; furthermore, it is shown that the constructs are topological categories.
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References
- Adámek J., Theory of Mathematical Structures, D. Reidel Publishing Co., Dordrecht, 1983.
- Blass A., “Two closed categories of filters”, Fund. Math., 94 (1977), No. 2, 129-143. doi: 10.4064/fm-94-2-129-143
- Bonnevay S., Lamure M., Largeron-Leteno C. and Nicoloyannis N., “A pretopological approach for structuring data in non-metric spaces”, Electron. Notes Discrete Math., 2 (1999), 1-9. doi: /10.1016/S1571-0653(04)00011-3
- Basileu C., Kabachi N. and Lamure M., “Pretopological structuring of a finite set endowed with a family of binary relationships”, Intelligences Journal [Online], No. 2, Full text issues, URL: http://lodel.irevues.inist.fr/isj/index.php?id=236
- Adámek J., Herrlich H. and Strecker G.E., “Abstract and Concrete Categories: The Joy of Cats”, Repr. Theory Appl. Categ., (2006), No. 17, 1-507.
- Largeron C., Bonnevay S. “A pretopological approach for structural analysis”, Inform. Sci., 144 (2002), No. 1, 169-185. doi: 10.1016/S0020-0255(02)00189-5
- Preuss G., Foundations of topology: an approach to convenient topology, Kluwer Academic Publishers, Dordrecht, 2002. doi: /10.1007/978-94-010-0489-3