Oriented Matroids

Günter M. Ziegler

Abstract


This dynamic survey offers an “entry point” for current research in oriented matroids. For this, it provides updates on the 1993 monograph “Oriented Matroids” by Bjö̈rner, Las Vergnas, Sturmfels, White & Ziegler [85], in three parts:
1. a sketch of a few “Frontiers of Research” in oriented matroid theory,
2. an update of corrections, comments and progress as compared to [85], and
3. an extensive, complete and up-to-date bibliography of oriented matroids, comprising and extending the bibliography of [85].


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