Matroids with an infinite circuit-cocircuit intersection

DOI10.1016/j.jctb.2014.02.005zbMath1298.05053arXiv1202.3406OpenAlexW2594578442MaRDI QIDQ403361

Nathan Bowler, Johannes Carmesin

Publication date: 29 August 2014

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3406

zbMATH Keywords

tamerepresentabilitydualityinfinite matroid

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (12)

Finitary and cofinitary gammoids ⋮ Reconstruction of infinite matroids from their 3-connected minors ⋮ Axioms for infinite matroids ⋮ An excluded minors method for infinite matroids ⋮ Matroid and Tutte-connectivity in infinite graphs ⋮ The structure of 2-separations of infinite matroids ⋮ Infinite gammoids: minors and duality ⋮ Thin sums matroids and duality ⋮ On the intersection conjecture for infinite trees of matroids ⋮ Infinite gammoids ⋮ Infinite graphic matroids ⋮ Base partition for mixed families of finitary and cofinitary matroids

Cites Work

• Axioms for infinite matroids
• Thin sums matroids and duality
• Duality theory for finite and infinite matroids with coefficients
• Infinite graphs and bicircular matroids
• Strong duality property for matroids with coefficients
• An excluded minors method for infinite matroids
• Infinite matroids in graphs
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