Isolated Diophantine numbers
Dynamical Systems
2024-02-02 v1 Number Theory
Abstract
In this short note, we discuss the topology of Diophantine numbers, giving simple explicit examples of Diophantine isolated numbers (among those with same Diophantine constatnts), showing that, Diophantine sets are not always Cantor sets. General properties of isolated Diophantine numbers are also briefly discussed.
Cite
@article{arxiv.2402.00173,
title = {Isolated Diophantine numbers},
author = {Fernando Argentieri and Luigi Chierchia},
journal= {arXiv preprint arXiv:2402.00173},
year = {2024}
}