arXiv Open Access 2021

Kirchberger's Theorem for Complexes of Oriented Matroids

Winfried Hochstättler Sophia Keip Kolja Knauer

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Abstrak

The separation theorem of Kirchberger can be proven using a combination of Farkas' Lemma and Caratheodory's Theorem. Since those theorems are at the heart of oriented matroids, we are interested in a generalization of Kirchberger's Theorem to them. This has already been done for rank 3 oriented matroids. Here we prove it for complexes of oriented matroids, which are a generalization of oriented matroids.

Topik & Kata Kunci

math.CO

Penulis (3)

Winfried Hochstättler

Sophia Keip

Kolja Knauer

Format Sitasi

APA MLA BibTeX

Hochstättler, W., Keip, S., Knauer, K. (2021). Kirchberger's Theorem for Complexes of Oriented Matroids. https://arxiv.org/abs/2112.03589

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓