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Sur un theoreme de separation des matroïdes orientes de rang trois |
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| Authors: | Raul Cordovil |
| Affiliation: | C.F.M.C., Instituto Nacional de Investigação Cientifica, Av. Prof. GamaPinto 2, 1699 Lisboa codex, Portugal |
| Abstract: | We prove a separation theorem for oriented matroids of rank 3. We give short combinatorial proofs of Carathéodory's theorem for arrangements of pseudohyperplanes and Kirchberger's theorem for arrangements of pseudolines. |
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