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

Abstract

Any bounded tile of the field ${\mathbb{Q}}_p$ of $p$-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.

5 pages

References in corpus (1)

• Compact Open Spectral Sets In ${\mathbb{Q}}_p$

Cited by in corpus (1)

• Fuglede's conjecture holds in ${\mathbb{Q}}_p$