论文信息 - Oriented matroids and multiply ordered sets

Oriented matroids and multiply ordered sets

Abstract The many different axiomatizations for matroids all have their uses. In this paper we show that Gutierrez Novoa's n-ordered sets are cryptomorphically the same as the oriented matroids, thereby establishing the existence of an axiomatization for oriented matroids in which the “oriented” bases of the matroid are the objects of paramount importance.

Jim Lawrence | James F. Lawrence

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