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Distributive contact lattices with nontangential part-of relations
Raskin, Julien
2015Topology, Algebra and Categories in Logic
 

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Keywords :
Duality; Contacts relations
Abstract :
[en] In a Boolean algebra, the "contact" and "nontangential part-of" relations are linked and interdefinable thanks to the complement. These relations yield on the Stone dual of the algebra two closed relations that appear to be the same. In a distributive lattice, the contact and nontangential part-of relations also yield dual closed relations on the Priestley dual. However, as the link between them is lost, these relations are not equal anymore. We explore the conditions linking the contact and nontangential part-of relations one should add in order to recover these relations knowing the intersection of their dual.
Disciplines :
Mathematics
Author, co-author :
Raskin, Julien ;  Université de Liège > Département de mathématique > Mathématiques discrètes
Language :
English
Title :
Distributive contact lattices with nontangential part-of relations
Publication date :
23 June 2015
Event name :
Topology, Algebra and Categories in Logic
Event place :
Ischia, Italy
Event date :
21 June 2015 - 26 June 2015
Audience :
International
Available on ORBi :
since 28 June 2015

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