Some Isomorphism Theorems for MVD-algebras
Elza Ivanova-Dimova

TL;DR
This paper reformulates existing duality theorems for locally compact Hausdorff spaces using MVD-algebras, providing a new perspective and potentially simplifying the duality framework.
Contribution
It introduces a new formulation of duality theorems employing MVD-algebras and their morphisms, replacing local contact algebras.
Findings
Duality theorems expressed via MVD-algebras
Equivalent formulations using MVD-algebras and morphisms
Simplified representation of duality results
Abstract
In three recaent papers of G. Dimov, many Stone-type duality theorems for the category of locally compact Hausdorff spaces and continuous maps and some of its subcategories were proved. The dual objects in all these theorems are the local contact algebras. In a paper of D. Vakarelov, G. Dimov, I. Duntsch, and B. Bennett, the notion of an MVD-algebra was introduced and it was shown that it is equivalent to the notion of a local contact algebra. In this paper we express the duality theorems mentioned above in a new form using MVD-algebras and appropriate morphisms between them instead of local contact algebras and the respective morphisms.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsConstraint Satisfaction and Optimization · Data Management and Algorithms · Advanced Algebra and Logic
