Axioms for infinite matroids |
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| Authors: | Henning Bruhn Reinhard Diestel Matthias Kriesell Rudi Pendavingh Paul Wollan |
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| Institution: | 1. Équipe Combinatoire et Optimisation, Université Pierre et Marie Curie, Paris, France;2. Mathematisches Seminar der Universität Hamburg, Germany;3. Department of Mathematics, Ilmenau University of Technology, Germany;4. Department of Mathematics, Eindhoven University of Technology, The Netherlands;5. Department of Computer Science, University of Roma “La Sapienza”, Italy |
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| 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. |
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| Keywords: | Matroid Infinite Duality Rado |
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