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Uniform oriented matroids without the isotopy property
Authors:Beat Jaggi  Peter Mani-Levitska  Bernd Sturmfels  Neil White
Institution:(1) Mathematisches Institut der Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland;(2) Research Institut for Symbolic Computation, Johannes-Kepler Universität, A-4040 Linz, Austria;(3) Department of Mathematics, University of Florida, 32611 Gainesville, FL, USA
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.The research of Bernd Sturmfels and Neil White was supported in part by the Institute for Mathematics and Its Applications with funds provided by the National Science Foundation.
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