On the Topology and Geometric Construction of Oriented Matroids and Convex Polytopes
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Publication:3971327
DOI10.2307/2001676zbMath0743.05011OpenAlexW4235063258MaRDI QIDQ3971327
Bernd Sturmfels, Jürgen Richter-Gebert
Publication date: 25 June 1992
Full work available at URL: https://doi.org/10.2307/2001676
Combinatorial aspects of matroids and geometric lattices (05B35) Topological geometry (51H99) Polytopes and polyhedra (52Bxx)
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Cites Work
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- Neighborly 6-polytopes with 10 vertices
- Neighborly polytopes and oriented matroids
- On sign-invariance graphs of uniform oriented matroids
- Inseparability graphs of oriented matroids
- Teilungen der Ebenen durch Geraden oder topologische Geraden
- Construction theorems for polytopes
- Nonrealizability proofs in computational geometry
- Neighborly polytopes
- Upper bounds for configurations and polytopes in \({\mathbb{R}}^ d\)
- Cyclic polytopes and d-order curves
- Polytopal and nonpolytopal spheres. An algorithmic approach
- Simplicial cells in arrangements and mutations of oriented matroids
- A nonuniform matroid which violates the isotopy conjecture
- Order properties of lines in the plane and a conjecture of G. Ringel
- Uniform oriented matroids without the isotopy property
- Convexity in oriented matroids
- Proof of Grünbaum's conjecture on the stretchability of certain arrangements of pseudolines
- Oriented matroids
- Orientability of matroids
- On the coordinatization of oriented matroids
- Oriented matroids and multiply ordered sets
- Cyclic polytopes and oriented matroids
- On the Number of Ordinary Lines Determined by n Points
- The number of polytopes, configurations and real matroids
- The d-Step Conjecture and Its Relatives
- On the decidability of Diophantine problems in combinatorial geometry