Topological representation of dual pairs of oriented matroids
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 \(\mathbb{R}^ n\).
scientific article; zbMATH DE number 437644