Maximal Elements in Topological Convex Spaces
AbstractWe 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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Bibliographic InfoPaper provided by UniversitÃ© PanthÃ©on-Sorbonne (Paris 1) in its series Papiers d'Economie MathÃ©matique et Applications with number 98.28.
Length: 8 pages
Date of creation: 1998
Date of revision:
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