A Class of Infinite Convex Geometries
A Class of Infinite Convex Geometries
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一类无限凸几何
DOI：
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发表时间：
2015
影响因子：
0.7
通讯作者：
J. B. Nation
中科院分区：
文献类型：
--
作者：
K. Adaricheva;J. B. Nation
有限凸几何的各种特征是众所周知的。本文对闭集格是强上原子和下连续的可能无穷凸几何给出了类似的刻画。给出了这类凸几何的几类例子。
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.