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Bibliographic Details
Main Authors: Richard, Christoph, Strungaru, Nicolae
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2211.01439
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Table of Contents:
  • We show that any translate of a model set is a model set in some modified cut-and-project scheme. Restricting to Euclidean direct space, we show that any translate of an inter model set is a model set in some modified cut-and-project scheme with second countable internal space. In both cases, the window in the modified cut-and-project scheme inherits the topological and measure-theoretic properties of the original window. Our results hold in fact for a class beyond inter model sets, which we call almost model sets.