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» Duality and canonical extensions for stably compact spaces
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CORR
2010
Springer
107views Education» more  CORR 2010»
13 years 4 months ago
Duality and canonical extensions for stably compact spaces
We construct a canonical extension for strong proximity lattices in order to give an algebraic, point-free description of a finitary duality for stably compact spaces.
Sam van Gool
ENTCS
2006
136views more  ENTCS 2006»
13 years 4 months ago
Priestley Duality for Strong Proximity Lattices
In 1937 Marshall Stone extended his celebrated representation theorem for Boolean algebras to distributive lattices. In modern terminology, the representing topological spaces are...
Mohamed A. El-Zawawy, Achim Jung
CORR
2006
Springer
120views Education» more  CORR 2006»
13 years 4 months ago
Logic Column 15: Coalgebras and Their Logics
of proposed research. A short bibliography is optional. Domain theory has been developed around 40 years since 1970s by D. Scott, and S. Abramsky revealed the "junction betwee...
Alexander Kurz
ACS
2007
13 years 4 months ago
Choiceless, Pointless, but not Useless: Dualities for Preframes
We provide the appropriate common ‘(pre)framework’ for various central results of domain theory and topology, like the Lawson duality of continuous domains, the Hofmann–Lawso...
Marcel Erné
CGF
2010
144views more  CGF 2010»
13 years 4 months ago
Dynamic Multi-View Exploration of Shape Spaces
Statistical shape modeling is a widely used technique for the representation and analysis of the shapes and shape variations present in a population. A statistical shape model mod...
Stef Busking, Charl P. Botha, Frits H. Post