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Particle-vortex duality in topological insulators and superconductors
(2017-05-01)
We investigate the origins and implications of the duality between topological insulators and topological superconductors in three and four spacetime dimensions. In the latter, the duality transformation can be made at the ...
Some remarks about Poincaré duality pairs
(2012-07-01)
Bieri-Eckmann [6] introduced the concept of relative cohomology for a group pair (G, S), where G is a group and S is a family of subgroups of G and, by using that theory, they introduced the concept of Poincaré duality ...
A Topological Duality for k x j-rough Heyting Algebras
(Old City Publishing Inc, 2020-08)
k-rough Heyting algebras were introduced by Eric San Juan as an algebraic formalism for reasoning on finite increasing sequences over Boolean algebras in general and on generalizations of rough set concepts in particular. ...
A topological duality for tense θ -valued Łukasiewicz–Moisil algebras
(Springer Verlag Berlín, 2018-07)
In 2011, tense θ-valued Łukasiewicz–Moisil algebras (or tense LM θ -algebras) were introduced by Chiriţă as an algebraic counterpart of the tense θ-valued Moisil propositional logic. In this paper we develop a topological ...
Some remarks about Poincaré duality pairs
(2012-07-01)
Bieri-Eckmann [6] introduced the concept of relative cohomology for a group pair (G, S), where G is a group and S is a family of subgroups of G and, by using that theory, they introduced the concept of Poincaré duality ...
A topological duality for tense LMn-algebras and applications
(Oxford University Press, 2018-03)
In 2007, tense n-valued Lukasiewicz-Moisil algebras (or tense LMn-algebras) were introduced by Diaconescu and Georgescu as an algebraic counterpart of the tense n-valued Moisil logic. In this article we continue the study ...
A Categorical Duality for Semilattices and Lattices
(Springer, 2020-10)
The main aim of this article is to develop a categorical duality between the category of semilattices with homomorphisms and a category of certain topological spaces with certain morphisms. The principal tool to achieve ...
Hilbert algebras with a necessity modal operator
(Jagiellonian University, 2014-10)
We introduce the variety of Hilbert algebras with a modal operator , called H -algebras. The variety of H -algebras is the algebraic counterpart of the f!; g-fragment of the intuitionitic modal logic IntK . We will study ...