G. Dimov, E. Ivanova-Dimova, D. Vakarelov
Published 2016-03-03Version 1
We prove a new duality theorem for the category of precontact algebras which implies the Stone Duality Theorem, its connected version obtained in arXiv:1508.02220v3, 1-44 (to appear in Topology Appl.), the recent duality theorems of Bezhanishvili, G., Bezhanishvili, N., Sourabh, S., Venema, Y. and Goldblatt, R. and Grice, M, and some new duality theorems for the category of contact algebras and for the category of complete contact algebras.
Comments: 29 pages. arXiv admin note: substantial text overlap with arXiv:1508.02220
Topological Representation of Precontact Algebras and a Connected Version of the Stone Duality Theorem -- I
A Generalization of De Vries Duality Theorem
On $\mathcal{B}$-Open Sets
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