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arxiv: 1003.3919 · v3 · pith:ACBRCGNTnew · submitted 2010-03-20 · 🧮 math.CO

Axioms for infinite matroids

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keywords infinitematroidsaxiomaticaxiomsbasescircuitsclosurecompletes
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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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