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arXiv · 1101.5621

Finite connectivity in infinite matroids

Henning Bruhn·Paul Wollan
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Abstract

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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Henning Bruhn, Paul Wollan. 2011-01-28. Finite connectivity in infinite matroids. https://arxiv.org/abs/1101.5621

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