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Dieter Betten; Walter Wenzel : On the Combinatorial Geometry of Linear Spaces

Dieter Betten; Walter Wenzel : On the Combinatorial Geometry of Linear Spaces

Author(s) :
Dieter Betten; Walter Wenzel
Title :
On the Combinatorial Geometry of Linear Spaces
Preprint series
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 2000-2, 2000
Mathematics Subject Classification :
05B25 [ Finite geometries (combinatorics) ]
05B35 [ Matroids (combinatorics) ]
51D20 [ Combinatorial geometries ]
Abstract :
Linear spaces of arbitrary finite dimension are interpreted as simple matroids. We study the problem of erecting some linear space of dimension n to some linear space of dimension n+1 if possible. Several examples of some such erections are studied.
Keywords :
Linear spaces, planar linear spaces, simple matroids, lines, hyperplanes, subspaces, rank, erections,
Language :
english
Publication time :
2/2000