Proof of Nash-Williams' intersection conjecture for countable matroids

نویسندگان

چکیده

Abstract We prove that if M and N are finitary matroids on a common countable edge set E then they admit independent I such there is bipartition = ? for which ? spans in N. It answers positively the Matroid Intersection Conjecture of Nash-Williams case.

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2021

ISSN: ['1857-8365', '1857-8438']

DOI: https://doi.org/10.1016/j.aim.2021.107608