English

Bounded tiles in $\mathbb{Q}_p$ are compact open sets

Number Theory 2015-11-23 v1 Classical Analysis and ODEs

Abstract

Any bounded tile of the field Qp\mathbb{Q}_p of pp-adic numbers is a compact open set up to a zero Haar measure set. In this note, we give a simple and direct proof of this fact.

Cite

@article{arxiv.1511.06404,
  title  = {Bounded tiles in $\mathbb{Q}_p$ are compact open sets},
  author = {Aihua Fan and Shilei Fan},
  journal= {arXiv preprint arXiv:1511.06404},
  year   = {2015}
}

Comments

5 pages

R2 v1 2026-06-22T11:49:56.907Z