Axioms for infinite matroids

Details Axioms for infinite matroids Axioms for infinite matroids

2010-03-20

arxiv.org/abs/1003.3919v2

Mathematics

Combinatorics

28 pp., 2 figs. Extending version 1, this paper now also offers rank axioms. It has also acquired a new coauthor

Scientific paper

We give axiomatic foundations for non-finitary infinite matroids with
duality, in terms of independent sets, bases, circuits, closure and rank. This
completes the solution to a problem of Rado of 1966.

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