A Class of Infinite Convex Geometries

Kira Adaricheva, J. B. Nation


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.


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

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