Generating cryptomorphic axiomatizations of matroids

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1980Publisher:Springer Berlin Heidelberg

Authors: G. Nicoletti;

doi: 10.1007/bfb0088669

Generating cryptomorphic axiomatizations of matroids

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Abstract

There exist many ways to define equivalently (cryptomorphically) the concept of matroid (in his "Matroid Theory", D.J.A. Welsh writes: "Deciding which set of axioms would be the most natural to start with was difficult"). In this note I show a deep symmetry between these axiomatizations: in this symmetry the family of bases has a central role; it is possible to define recursively new families of sets which axiomatize cryptomorphically the concept of matroid.

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Alma Mater Studiorum University of Bologna
Italy

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