White, Neil L. A nonuniform matroid which violates the isotopy conjecture. (English) Zbl 0657.05019 Discrete Comput. Geom. 4, No. 1, 1-2 (1989). The author’s 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.” Reviewer: J.Libicher Cited in 6 Documents MSC: 05B35 Combinatorial aspects of matroids and geometric lattices Keywords:isotopy conjecture; oriented matroids; realization space PDFBibTeX XMLCite \textit{N. L. White}, Discrete Comput. Geom. 4, No. 1, 1--2 (1989; Zbl 0657.05019) Full Text: DOI EuDML References: [1] R. Bland and M. Las Vergnas, Orientability of matroids,J. Combin. Theory Ser. B24 (1978), 94-123. · Zbl 0374.05016 [2] J. Bokowski and B. Sturmfels, On the coordinatization of oriented matroids,Discrete Comput. Geom.1 (1986), 293-306. · Zbl 0132.00601 [3] J. E. Goodman and R. Pollack, Tagungsbericht Oberwolfach, Tagung über kombinatorische Geometrie, September 1984, List of problems. [4] G. Ringel, Teilungen der Ebene durch Geraden oder topologische Geraden,Math. Z.64 (1956), 79-102. · Zbl 0070.16108 [5] B. Sturmfels, Computational synthetic geometry, Ph.D. thesis, University of Washington, Seattle, WA, 1987. [6] N. White, ed.,Combinatorial Geometries, Cambridge University Press, Cambridge, 1987. · Zbl 0626.00007 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.