Characterisation of Meyer sets via the Freiman--Ruzsa theorem
Number Theory
2023-12-20 v2 Mathematical Physics
Combinatorics
math.MP
Abstract
We show that the Freiman--Ruzsa theorem, characterising finite sets with bounded doubling, leads to an alternative proof of a characterisation of Meyer sets, that is, relatively dense subsets of Euclidean spaces whose difference sets are uniformly discrete.
Keywords
Cite
@article{arxiv.2103.02289,
title = {Characterisation of Meyer sets via the Freiman--Ruzsa theorem},
author = {Jakub Konieczny},
journal= {arXiv preprint arXiv:2103.02289},
year = {2023}
}
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14 pages