Reference : Distributive contact lattices with nontangential part-of relations
Scientific congresses and symposiums : Unpublished conference/Abstract
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/183277
Distributive contact lattices with nontangential part-of relations
English
Raskin, Julien mailto [Université de Liège > Département de mathématique > Mathématiques discrètes >]
23-Jun-2015
Yes
No
International
Topology, Algebra and Categories in Logic
21 June 2015 - 26 June 2015
Ischia
Italy
[en] Duality ; Contacts relations
[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.
Researchers
http://hdl.handle.net/2268/183277

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