Abstract
The subject matter of this note is the notion of a dependence structure on an abstract set. There are a number of different approaches to this topic and it is known that many of these lead to precisely the same structure. Axioms are given here to specify the minimal dependent sets for such a structure. They are closely related to conditions introduced by Hassler Whitney in [1] and to a certain “elimination axiom” for the independent sets.
Publisher
Cambridge University Press (CUP)
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Broken circuit complexes and hyperplane arrangements;Journal of Algebraic Combinatorics;2013-03-01
2. An extremal problem for non-separable matroids;Lecture Notes in Mathematics;1971
3. Bibliography;Mathematics in Science and Engineering;1971
4. Comments on bases in dependence structures;Bulletin of the Australian Mathematical Society;1969-08