Proves colorful and matroidal generalizations of the Goodman-Pollack transversal problem for convex sets in F^d using matroidal joins and connectivity estimates.
Holmsen and Edgardo Roldán-Pensado,The colored Hadwiger transversal theorem inR d, Combinatorica 36(2016), no
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On colorful generalizations of the Goodman--Pollack transversal problem
Proves colorful and matroidal generalizations of the Goodman-Pollack transversal problem for convex sets in F^d using matroidal joins and connectivity estimates.