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A duality theory for quantitative semantics
1998A continuous predicate on a domain, or more generally a topological space, can be concretely described as an open or closed set, or less obviously, as the set of all predicates consistent with it. Generalizing this scenario to quantitative predicates, we obtain under certain well-understood hypotheses an isomorphism between continuous functions on ...
Reinhold Heckmann, Michael Huth 0001
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Group Theory and the Principle of Duality
Canadian Mathematical Bulletin, 1968In [1] the Principle of Duality of mathematical logic (which states that the duals of equivalent well-formed formulas are also equivalent) is established by first showing that certain transforms related to the duality transform, also possess this property. The transforms involved are ,, , and which are defined as follows.
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On the duality theory of convex objects [PDF]
, 2001 We consider the classical duality operators for convex objects suchas the polar of a convex set containing the origin, the dual norm,the Fenchel-transform of a convex function and the conjugate of aconvex cone. We give a new, sharper, unified treatment of the theoryof these operators, deriving generalized theorems of Hahn-Banach,Fenchel-Moreau and ...
Brinkhuis, J., Tikhomirov, V.
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Duality Theory for Projective Algebras
2006Projective algebras were introduced by Everett and Ulam [4] as an algebraic formulation of the operations of projection and product on a two-dimensional algebra of relations. Although they were among the first structures to be investigated in the modern revival of the algebraic logic tradition, they have been somewhat overshadowed by their close kin ...
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Duality and the Theory of Complexes
Proceedings of the London Mathematical Society, 1971openaire +2 more sources
On the Duality in the Theory of Smooth Manifolds
Journal of Mathematical ScienceszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dualities of 5d gauge theories from S-duality
Journal of High Energy Physics, 2020Lakshya Bhardwaj
exaly
Baryons, monopoles and dualities in Chern-Simons-matter theories
Journal of High Energy Physics, 2016Ofer Aharony
exaly