Geodesic
A class of infinite convex geometries
Kira Adaricheva1 ; J. B. Nation2
1Nazarbayev University
2University of Hawaii
The electronic journal of combinatorics, Tome 23 (2016) no. 1
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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.
DOI : 10.37236/4977
Classification : 52A05, 06A15, 06B35, 52C99
Mots-clés : convex geometry, closure system, anti-exchange property, join semidistributive lattice

Kira Adaricheva  1   ; J. B. Nation  2

1 Nazarbayev University
2 University of Hawaii 
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Kira Adaricheva; J. B. Nation. A class of infinite convex geometries. The electronic journal of combinatorics, Tome 23 (2016) no. 1. doi: 10.37236/4977

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