Abstract (EN):
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.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
4