We give axiomatic foundations for infinite matroids with duality, in terms of independent sets, bases, circuits, closure and rank. Continuing work of Higgs and Oxley, this completes the solution to a problem of Rado of 1966. (C) 2013 Henning Bruhn, Reinhard Diestel, Matthias Kriesell, Rudi Pendavingh and Paul Wollan. Published by Elsevier Inc. All rights reserved.

Axioms for infinite matroids / Henning, Bruhn; Reinhard, Diestel; Matthias, Kriesell; Rudi, Pendavingh; Wollan, PAUL JOSEPH. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 239:(2013), pp. 18-46. [10.1016/j.aim.2013.01.011]

Axioms for infinite matroids

WOLLAN, PAUL JOSEPH
2013

Abstract

We give axiomatic foundations for infinite matroids with duality, in terms of independent sets, bases, circuits, closure and rank. Continuing work of Higgs and Oxley, this completes the solution to a problem of Rado of 1966. (C) 2013 Henning Bruhn, Reinhard Diestel, Matthias Kriesell, Rudi Pendavingh and Paul Wollan. Published by Elsevier Inc. All rights reserved.
2013
duality; infinite; matroid; rado
01 Pubblicazione su rivista::01a Articolo in rivista
Axioms for infinite matroids / Henning, Bruhn; Reinhard, Diestel; Matthias, Kriesell; Rudi, Pendavingh; Wollan, PAUL JOSEPH. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 239:(2013), pp. 18-46. [10.1016/j.aim.2013.01.011]
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/528744
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 40
  • ???jsp.display-item.citation.isi??? 40
social impact