A class of infinite convex geometries
Combinatorics
2017-01-27 v2 Rings and Algebras
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
Cite
@article{arxiv.1501.04174,
title = {A class of infinite convex geometries},
author = {Kira Adaricheva and J. B. Nation},
journal= {arXiv preprint arXiv:1501.04174},
year = {2017}
}
Comments
10 pages