Relative rank axioms for infinite matroids

Research output: Book/ReportReportAcademic


In a recent paper, Bruhn, Diestel, Kriesell and Wollan present four systems of axioms for infinite matroids, in terms of independent sets, bases, closure and circuits. No system of rank axioms is given. We give an easy example showing that rank function of an infinite matroid may not suffice to characterize it. We present a system of axioms in terms of relative rank.
Original languageEnglish
Number of pages5
Publication statusPublished - 2010

Publication series [math.CO]


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