ON THE STEINITZ EXCHANGE LEMMA

被引：1
|
作者：
DEOLIVEIRA, AG [1 ]
机构：
[1] UP,FAC CIENCIAS,CTR MATEMAT,P-4000 OPORTO,PORTUGAL
来源：
DISCRETE MATHEMATICS | 1995年 / 137卷 / 1-3期
关键词：
D O I：
10.1016/0012-365X(93)E0115-K
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A set of axioms for defining a matroid in terms of its bases is given by the Steinitz exchange lemma. In this paper, we show these axioms are not independent, and find a subcollection defining the same structure. A special motivation is given by the Grassmann variety and by oriented matroids, where we present improved versions of known results.
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页码：367 / 370
页数：4
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