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Hyperplane arrangements, discrete geometry, convex polytopes, and optimization. For more general questions concerning matroids, use the matroid-theory tag.
2
votes
0
answers
128
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Will the following construction leads to an counterexample of strong mapping conjecture on r...
The strong map conjecture asserts that any strong map $\mathcal{M}_1\rightarrow\mathcal{M}_2$ admit a factorization into an extension followed by a contraction. For which the counterexample has been c …
9
votes
0
answers
178
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Is every planar point set the projection of vertices of a neighborly 4-polytope?
More exactly, written in coordinates, I'm curious to know if for every point set $(x_i,y_i)$ there are $(x_i,y_i,z_i,w_i)$ that are vertices of a neighborly polytope.
This problem comes from a simple …