Abstract | ||
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We prove duals of Radon's theorem, Helly's theorem, Carathéodory's theorem, and Kirchberger's theorem for arrangements of pseudolines in the real projective plane, which generalize the original versions of those theorems for plane configurations of points. We also prove a topological generalization of the pseudoline-dual of Helly's theorem. |
Year | DOI | Venue |
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1982 | 10.1016/0097-3165(82)90061-9 | JOURNAL OF COMBINATORIAL THEORY SERIES A |
DocType | Volume | Issue |
Journal | 32 | 1 |
ISSN | Citations | PageRank |
0097-3165 | 1 | 0.44 |
References | Authors | |
0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jacob E. Goodman | 1 | 277 | 136.42 |
Richard Pollack | 2 | 912 | 203.75 |