The axiomatization of affine oriented matroids reassessed

DOI10.1007/s00022-018-0407-5zbMath1391.52034arXiv1603.03228OpenAlexW2964290349MaRDI QIDQ1754395

Yida Zhu, Andrea Baum

Publication date: 30 May 2018

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03228

zbMATH Keywords

arrangement of hyperplanesoriented matroidsign vector

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Oriented matroids in discrete geometry (52C40)

Related Items (6)

Finitary affine oriented matroids ⋮ Corners and simpliciality in oriented matroids and partial cubes ⋮ COMs: complexes of oriented matroids ⋮ Hyperplane Neural Codes and the Polar Complex ⋮ On tope graphs of complexes of oriented matroids ⋮ Two-dimensional partial cubes

Cites Work

• ``What is a complex matroid?
• COMs: complexes of oriented matroids
• The concept of cutting vectors for vector systems in the Euclidean plane
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