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arXiv · 2506.11265

Linkage Axioms for Generic Tropical Oriented Matroids

Yuan Yao
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Abstract

We present a comprehensive overview of Ardila and Develin's (generic) tropical oriented matroids, as well as many related objects and their axiomatics. Moreover, we use a unifying framework that elucidates the connections between these objects, including several new cryptomorphisms and properties.

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Yuan Yao. 2026-01-07. Linkage Axioms for Generic Tropical Oriented Matroids. https://arxiv.org/abs/2506.11265

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