Uniform oriented matroids without the isotopy property

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Abstract

We give an easy general construction for uniform oriented matroids with disconnected realization space. This disproves the longstanding isotopy conjecture for simple line arrangements or order types in the plane. © 1989 Springer-Verlag New York Inc.

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Jaggi, B., Mani-Levitska, P., Sturmfels, B., & White, N. (1989). Uniform oriented matroids without the isotopy property. Discrete & Computational Geometry, 4(1), 97–100. https://doi.org/10.1007/BF02187717

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