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The Axiomatization of Affine Oriented Matroids Reassessed

2016/03/10 by Andrea Baum, Baum, Andrea, Yida Zhu +1
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #Data Management and Algorithms #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1603.03228

openalex publication_date 2016/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In an unpublished manuscript of 1992, Johan Karlander has given an axiomatization of affine oriented matroids. A closer examination of the text revealed an invalid construction and an incorrect argument in the proof of his main theorem. This paper provides an alternative argument to fix and slightly simplify the proof of the main theorem.

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