Maximal Elements in Topological Convex Spaces
We introduce axiomatically a more general notion of a convex space dropping one axiom, the so called cancellation law. A wider class of convex sets includes in particular ordinary convex sets and semilattices. Then we introduce a notion of a topological convex space and establish for it theorems like KKM and existence of maximal elements of binary relations.
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|Date of creation:||1998|
|Date of revision:|
|Contact details of provider:|| Postal: France; Universite de Paris I - Pantheon- Sorbonne, 12 Place de Pantheon-75005 Paris, France|
Phone: + 33 44 07 81 00
Fax: + 33 1 44 07 83 01
Web page: http://cermsem.univ-paris1.fr/
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