Geometries, independence spaces and infinite antimatroids

Authors

  • Hua Mao Hebei University, China

DOI:

https://doi.org/10.11113/matematika.v33.n1.901

Abstract

This paper generalizes the notion of antimatroids from the case that the ground set X is a finite set to the case that X is an arbitrary set. It not only deals with the relationships between geometries and independence spaces, but also demonstrates the relationships between convex geometries and arbitrary antimatroids.

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Published

2017-09-20

Issue

Section

Articles