On subsets of asymptotic bases

Let $h\ge 2$ be an integer. In this paper, we prove that if $A$ is an asymptotic basis of order $h$ and $B$ is a nonempty subset of $A$, then either there exists a finite subset $F$ of $A$ such that $F\cup B$ is an asymptotic basis of order $h$, or for any $\varepsilon >0$, there exists a finite...

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Bibliographic Details
Main Authors: Xu, Ji-Zhen, Chen, Yong-Gao
Format: Article
Language:English
Published: Académie des sciences 2024-02-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.513/
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