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arXiv · 2404.04721

A Nearly Finitary Matroid that is not $k$-Nearly Finitary

Patrick Tam
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Abstract

The class of $k$-nearly finitary matroids for some natural number $k$ is a subclass of the class of nearly finitary matroids. A natural question is whether this inclusion is proper. We answer this question affirmatively by constructing a nearly finitary matroid that is not $k$-nearly finitary for any $k \in \mathbb{N}$.

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Patrick Tam. 2024-12-11. A Nearly Finitary Matroid that is not $k$-Nearly Finitary. https://doi.org/10.37236/10467

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