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arxiv: 1101.5621 · v1 · pith:JVCY2VD4new · submitted 2011-01-28 · 🧮 math.CO

Finite connectivity in infinite matroids

classification 🧮 math.CO
keywords connectivitymatroidsfinitefunctioninfiniteapplicationco-finitaryduality
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We introduce a connectivity function for infinite matroids with properties similar to the connectivity function of a finite matroid, such as submodularity and invariance under duality. As an application we use it to extend Tutte's linking theorem to finitary and to co-finitary matroids.

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