Abstract
Let M = (M i:i ϵ K) be a finite or infinite family consisting of matroids on a common ground set E each of which may be finitary or cofinitary. We prove the following Cantor-Bernstein-type result: If there is a collection of bases, one for each M i, which covers the set E, and also a collection of bases which are pairwise disjoint, then there is a collection of bases which partition E. We also show that the failure of this Cantor-Bernstein-type statement for arbitrary matroid families is consistent relative to the axioms of set theory ZFC.
Originalsprache | englisch |
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Seiten (von - bis) | 31-52 |
Seitenumfang | 22 |
Fachzeitschrift | Combinatorica |
Jahrgang | 41 |
Ausgabenummer | 1 |
DOIs | |
Publikationsstatus | Veröffentlicht - Feb. 2021 |
ASJC Scopus subject areas
- Computational Mathematics
- Diskrete Mathematik und Kombinatorik