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Geometries, independence spaces and infinite antimatroids.
- Source :
-
Matematika . Jun2017, Vol. 33, p105-111. 7p. - Publication Year :
- 2017
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INFINITY (Mathematics)
*CONVEX geometry
*GENERALIZATION
*FINITE groups
*SET theory
Subjects
Details
- Language :
- English
- ISSN :
- 01278274
- Volume :
- 33
- Database :
- Academic Search Index
- Journal :
- Matematika
- Publication Type :
- Academic Journal
- Accession number :
- 124199091
- Full Text :
- https://doi.org/10.11113/matematika.v33.n1.901