A Class of Infinite Convex Geometries

Kira Adaricheva, J. B. Nation

Abstract


Various characterizations of finite convex geometries are well known. This note provides similar characterizations for possibly infinite convex geometries whose lattice of closed sets is strongly coatomic and lower continuous. Some classes of examples of such convex geometries are given.

Keywords


Convex geometry; Closure system, Anti-exchange property; Join semidistributive lattice

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