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Journal of Geometry
Article . 2001 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Antimatroids of finite character

Authors: Wahl, Nathalie;

Antimatroids of finite character

Abstract

This paper provides an axiomatization of antimatroids (``convex geometries''; see \textit{P. H. Edelmann} and \textit{R. E. Jamison,} [Geom. Dedicata 19, 247-270 (1985; Zbl 0577.52001)]) that also works for the moderately infinite case of ``finite character'', where any union of a chain of closed sets is again closed.

Keywords

Axiomatic and generalized convexity, abstract convex geometries, antimatroid, anti-exchange closures, infinite rank, Combinatorial aspects of matroids and geometric lattices, Galois correspondences, closure operators (in relation to ordered sets)

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citations
The total number of citations received by all articles of the researcher of interest.
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
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