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