Abstract
The Isotopy Conjecture for Oriented Matroids states that the realization space over the real number field of an oriented matroid is path-connected. We provide a nonuniform counterexample of rank 3 on 42 points.
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White, N.L. A nonuniform matroid which violates the isotopy conjecture. Discrete Comput Geom 4, 1–2 (1989). https://doi.org/10.1007/BF02187710
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DOI: https://doi.org/10.1007/BF02187710