Another exchange property for bases
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- by Curtis Greene
- Proc. Amer. Math. Soc. 46 (1974), 155-156
- DOI: https://doi.org/10.1090/S0002-9939-1974-0345850-X
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Abstract:
Let $X$ and $Y$ be bases of a combinatorial geometry of rank $n$. If $A \subseteq X$ and $B \subseteq Y$, with $|A| + |B| \geq n + 1$, then there exist subsets ${A_0} \subseteq A$ and ${B_0} \subseteq B$ such that $(X - {A_0}) \cup {B_0}$ and $(Y - {B_0}) \cup {A_0}$ are both bases.References
Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 46 (1974), 155-156
- MSC: Primary 05B35
- DOI: https://doi.org/10.1090/S0002-9939-1974-0345850-X
- MathSciNet review: 0345850