Axioms for infinite matroids

Abstract

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.

33 pp., 2 figs

References in corpus (2)

• Infinite matroid union
• Dual trees must share their ends

Cited by in corpus (9)

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• The structure of 2-separations of infinite matroids
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• Relative rank axioms for infinite matroids