Extreme point axioms for closure spaces
type: Item
instance of: scholarly article
title: Extreme point axioms for closure spaces
zbMATH Open document ID: 1110.54001
author: Kazutoshi Ando
published in: Discrete Mathematics
publication date: 2006-12-14T00:00:00Z
review text: The author characterizes extreme point operators of finite closure spaces, matroids and antimatroids.
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 05B35
Mathematics Subject Classification ID: 91B08
Mathematics Subject Classification ID: 52A01
zbMATH DE Number: 5080064
zbMATH Keywords: closure operator
zbMATH Keywords: extreme point operator
zbMATH Keywords: matroid
zbMATH Keywords: antimatroid
zbMATH Keywords: convex geometry
zbMATH Keywords: exchange condition
zbMATH Keywords: expansion condition
zbMATH Keywords: Chernoff condition
zbMATH Keywords: Aizerman condition
zbMATH Keywords: Minkowski-Krein-Milman condition
zbMATH Keywords: choice function
reviewed by: Bernhard Behrens
MaRDI profile type: Publication
full work available at URL: j.disc.2006.04.034
OpenAlex ID: W1990826684
cites work: General theory of best variants choice: Some aspects
cites work: The theory of convex geometries
cites work: Q4165427
cites work: Greedoids
cites work: Choice functions and abstract convex geometries
cites work: The duality between the anti-exchange closure operators and the path independent choice operators on a finite set
cites work: Choice functions over a finite set: A summary
cites work: Q3135082
cites work: Closure lattices
cites work: Q3141898
cites work: Q4111952
DOI: 10.1016/J.DISC.2006.04.034
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description: scientific article; zbMATH DE number 5080064