On relative position in extensions of combinatorial geometries
type: Item
instance of: scholarly article
title: On relative position in extensions of combinatorial geometries
zbMATH Open document ID: 0595.05018
DOI: 10.1016/0095-8956(88)90088-3
author: Alan Cheung
author: Henry Crapo
published in: Journal of Combinatorial Theory. Series B
publication date: 1988-01-01T00:00:00Z
review text: The paper gives a complete combinatorial description of all possible positions of a geometric subspace (a flat) relative to a given geometric figure. The description develops in three stages of increasing generality. A first description uses modular filters; a second uses geometric quotients; the final and most complete description requires quotient bundles.
Mathematics Subject Classification ID: 05B35
Mathematics Subject Classification ID: 51D20
zbMATH DE Number: 3957126
zbMATH Keywords: modular filters
zbMATH Keywords: geometric quotients
zbMATH Keywords: quotient bundles
zbMATH Keywords: combinatorial geometry
zbMATH Keywords: matroids
MaRDI profile type: Publication
full work available at URL: 0095-8956(88)90088-3
OpenAlex ID: W2150375085
cites work: Adjoints of a Geometry
cites work: A combinatorial perspective on algebraic geometry
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cites work: Q5544323
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cites work: Strong maps of geometries
cites work: Majors of geometric strong maps
description: scientific article; zbMATH DE number 3957126