A Class of Infinite Convex Geometries

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.

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Bibliographic Details
Published in:The Electronic journal of combinatorics 2016-03, Vol.23 (1)
Main Authors: Adaricheva, Kira, Nation, J. B.
Format: Article
Language:English
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Description
Summary: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.
ISSN:1077-8926
1077-8926
DOI:10.37236/4977