Topologically sweeping an arrangement
Journal of Computer and System Sciences - 18th Annual ACM Symposium on Theory of Computing (STOC), May 28-30, 1986
Oriented rank three matroids and projective planes
European Journal of Combinatorics
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Define an arrangement of double pseudolines as a finite family of at least two separating simple closed curves embedded in a projective plane, with the property that any two meet transversally in exactly four points and induce a cell structure on the projective plane. We show that any arrangement of double pseudolines is isomorphic to the dual family of a finite family of pairwise disjoint convex bodies of a projective plane endowed with a topological point-line incidence geometry and we provide a simple axiomatic characterization of the class of isomorphism classes of indexed arrangements of oriented double pseudolines.