Axioms for infinite matroids

被引：46

作者：

Bruhn, Henning ^{[1
]}

Diestel, Reinhard ^{[2
]}

Kriesell, Matthias ^{[3
]}

Pendavingh, Rudi ^{[4
]}

Wollan, Paul ^{[5
]}

机构：

[1] Univ Paris 06, Equipe Combinatoire & Optimisat, Paris, France

[2] Univ Hamburg, Math Seminar, Hamburg, Germany

[3] Ilmenau Univ Technol, Dept Math, Ilmenau, Germany

[4] Eindhoven Univ Technol, Dept Math, NL-5600 MB Eindhoven, Netherlands

[5] Univ Roma La Sapienza, Dept Comp Sci, Rome, Italy

来源：

ADVANCES IN MATHEMATICS | 2013年 / 239卷

关键词：

Matroid; Infinite; Duality; Rado; LOCALLY FINITE GRAPH; DUALITY; DECOMPOSITION; HOMOLOGY;

D O I：

10.1016/j.aim.2013.01.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：18 / 46

页数：29