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Page 3405 of Mathematical Reviews Vol. , Issue 86h [page]

1986 Mathematical Reviews  
, and to review their role in the context of the spectral and pseudospectral theory of continuous lattices and of Lawson duality.  ...  In Section 5 we relate Lawson duality of continuous frames and their stably continuous reflections in terms of filter semilattices.  ... 

String Dualities and the Geroch Group [article]

Ioannis Bakas
1994 arXiv   pre-print
Special emphasis is placed on the identification of the T and S string duality symmetries, and their intertwining relations.  ...  We examine the properties and symmetries of the lowest order effective theory of 4-dim string backgrounds with axion and dilaton fields and zero cosmological constant.  ...  (and in the σ-model) frame of the theory.  ... 
arXiv:hep-th/9411118v1 fatcat:ptcv2vs7afetjjrswnz4l24jqy

Page 3449 of Mathematical Reviews Vol. , Issue 97F [page]

1997 Mathematical Reviews  
lattice if and only if it is discrete (meaning that all bounded chains are finite); thirdly, that for any n > 1, a chain with (L,,)-congruence lattice must be discrete.  ...  Natural duality theory for varieties of algebras grew out of three well-known dualities: Pontryagin’s duality for abelian groups, Stone’s duality for Boolean algebras and Priestley’s duality for distributive  ... 

A discrete duality between apartness algebras and apartness frames

Ivo Düntsch, Ewa Orlowska
2008 Journal of Applied Non-Classical Logics  
In this paper we introduce apartness algebras and apartness frames intended to be abstract counterparts to the apartness spaces of Bridges and Vîta [3], and we prove a discrete duality for them. * Ivo  ...  Düntsch gratefully acknowledges support from the Natural Sciences and Engineering Research Council of Canada.  ...  Introduction A discrete duality is a duality between classes of algebras and classes of relational systems (frames): Let Alg be a class of algebras and let Frm be a class of frames.  ... 
doi:10.3166/jancl.18.213-227 fatcat:s5imie5tqnddza2iioi3363gpe

Duality in Computer Science (Dagstuhl Seminar 15441)

Mai Gehrke, Achim Jung, Victor Selivanov, Dieter Spreen, Marc Herbstritt
2016 Dagstuhl Reports  
sharing tools and techniques between areas based on their common use of topological methods and duality.  ...  In this seminar, we focused on applications of duality to semantics for probability in computation, to algebra and coalgebra, and on applications in complexity theory.  ...  -Duality in  ... 
doi:10.4230/dagrep.5.10.66 dblp:journals/dagstuhl-reports/GehrkeJSS15 fatcat:qyd6kvvxq5ehlhmevzr5b7l27u

SYMMETRIES OF AXION–DILATON STRING COSMOLOGY

JNANADEVA MAHARANA
2005 International Journal of Modern Physics A  
The axion-dilaton string effective action is expressed in Einstein frame metric in a manifestly S-duality invariant form.  ...  Axion and dilaton parametrize the coset SU(1,1)/U(1), the S-duality group, and the Hamiltonian is expressed as a sum of the Ricci scalar and the Casimir of SU(1,1).  ...  The predictions of target space duality, T-duality, could be to tested in the frame work of perturbative string theory.  ... 
doi:10.1142/s0217751x05021105 fatcat:ojaucubuqvcbtlagwjd7sr577y

Viral Vectors I: Major Viral Vectors

2000 Molecular Therapy  
This talk will survey these three dualities for Boolean algebras with normal operators, and discuss their implications for: (1) dualities between various types of ideals in algebras and subuniverses of  ...  From the point of view of duality theory, the full class of MV-algebras provides an interesting case study because a simple split between topological and discrete components of duality is obstructed for  ... 
doi:10.1006/mthe.2000.0143 fatcat:t7k2ymu7rjeirdh3zhe4cxuxju

2. Abstracts Invited Speakers

2013 Journal of Perinatal Medicine  
This talk will survey these three dualities for Boolean algebras with normal operators, and discuss their implications for: (1) dualities between various types of ideals in algebras and subuniverses of  ...  From the point of view of duality theory, the full class of MV-algebras provides an interesting case study because a simple split between topological and discrete components of duality is obstructed for  ... 
doi:10.1515/jpm-2013-2001 fatcat:uzvmvs2t7rcbznk3yhwaaobvly

Duality for Logics of Transition Systems [chapter]

Marcello M. Bonsangue, Alexander Kurz
2005 Lecture Notes in Computer Science  
This duality extends to a duality between relational structures on X (e.g. descriptive general frames [11] ) and modal algebras on A whenever there are dual endofunctors T :X → X and L:A → A.  ...  This builds on the work of [6] since such a characterisation will require a duality between T 0 topological spaces and so-called spatial observation frames.  ...  The next section introduces some basic notions on coalgebras, algebras and their presentation by generators and relations.  ... 
doi:10.1007/978-3-540-31982-5_29 fatcat:2o3zntlsnvffhep7kmjzkipusq

Space time interpretation of S-duality and supersymmetry violations of T-duality

Ioannis Bakas
1995 Physics Letters B  
We also provide an algebraic characterization of the corresponding obstruction and associate it with a breakdown of space time supersymmetry under rotational T-duality transformations.  ...  Starting from pure gravity and performing a sequence of intertwined T-S-T duality transformations we obtain new solutions which are always pure gravitational.  ...  Acknowledgements I am grateful to Amit Giveon and Elias Kiritsis for collaboration on various aspects of the present w ork and for sharing their views on the problem of string duality symmetries.  ... 
doi:10.1016/0370-2693(94)01441-e fatcat:nfe56r7ivnbgznuba4lkvrseve

Koszul duality for locally constant factorization algebras [article]

Takuo Matsuoka
2015 arXiv   pre-print
Generalising Jacob Lurie's idea on the relation between the Verdier duality and the iterated loop space theory, we study the Koszul duality for locally constant factorisation algebras.  ...  Its proof depends on our earlier study of the Koszul duality for E_n-algebras. As a consequence, we obtain a Verdier type equivalence for factorisation algebras by a Koszul duality construction.  ...  This motivates one to consider the Koszul duality for factorisation algebras, and look for a generalisation of the Poincaré and the Verdier theorems in this context.  ... 
arXiv:1409.6945v2 fatcat:lve7sm7o6rhlzjwhnse75fsfze

Evidence for a Family of SO(8) Gauged Supergravity Theories

G. Dall'Agata, G. Inverso, M. Trigiante
2012 Physical Review Letters  
In this note we discuss the classification of duality orbits of N = 8 gauged supergravity models.  ...  We briefly discuss the couplings of such models and show that, although the maximally symmetric vacuum has the same quadratic spectrum, the supersymmetry transformations, the couplings and the scalar potential  ...  Hence, in the E-symplectic frame  M and X MN P are identical to the ones of Refs. [4, 5] . Still, the couplings in (11)- (19) retain their !  ... 
doi:10.1103/physrevlett.109.201301 pmid:23215469 fatcat:iccfdadsl5d4tll7vbyo7a4exa

Mirror Symmetry and Quantization of Abelian Varieties [chapter]

Yu. I. Manin
2001 Moduli of Abelian Varieties  
We use a "multiplicative uniformization" which goes back to Jacobi and which represents A as a quotient of n-dimensional algebraic torus T by 3 a multiplicative discrete lattice B ⊂ T (K).  ...  For example, in the context of multiplicative uniformization of abelian varieties A (C) = T (C)/B, the multiplicative period lattice B can degenerate also by ceasing to be discrete, although keeping its  ...  Polishchuk has drawn my attention to the paper [Fu] and sent me a copy of it.  ... 
doi:10.1007/978-3-0348-8303-0_9 fatcat:rqrrlct3rvcg3o5us6fzxnkm6q

Complete Congruences on Topologies and Down-set Lattices

Marcel Erné, Mai Gehrke, Aleš Pultr
2006 Applied Categorical Structures  
From the work of Simmons about nuclei in frames it follows that a topological space X is scattered if and only if each congruence on the frame of open sets is induced by a unique subspace A so that = {  ...  More questions concerning relations between frame, complete, spatial, induced and open congruences are discussed as well.  ...  Here, the topological duality A ↔ A * is Stone's duality for Boolean algebras (see [58] for Stone's original approach and [42] for a modern treatment), while the discrete duality X ↔ P(X) on the right  ... 
doi:10.1007/s10485-006-9054-3 fatcat:h53b4jcpfzc5deemwbyvtmlzby

Mirror symmetry and quantization of abelian varieties [article]

Yu. I. Manin
2000 arXiv   pre-print
In the Introduction and in the Appendix the constructions of this paper are put into a wider context.  ...  The second section introduces and studies quantized theta-functions with two-sided multipliers, which are functions on non-commutative tori. This is an extension of an earlier work by the author.  ...  Polishchuk has drawn my attention to the paper [Fu] and sent me a copy of it.  ... 
arXiv:math/0005143v1 fatcat:dp2k43yqefge5orddfv7itsnhy
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