Topological representation of dual pairs of oriented matroids (Q688007)
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scientific article; zbMATH DE number 437644
| Language | Label | Description | Also known as |
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| English | Topological representation of dual pairs of oriented matroids |
scientific article; zbMATH DE number 437644 |
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Topological representation of dual pairs of oriented matroids (English)
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28 November 1993
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We prove that every pair of dual oriented matroids can be represented in complementary subspheres of an arrangement of pseudospheres. This combines the Topological Representation Theorem for oriented matroids of Lawrence with Bland's construction of dual oriented matroids from pairs of orthogonal subspaces in \(\mathbb{R}^ n\).
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duality
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topological representation
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oriented matroids
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