Bounded Tiles in DOUBLE-STRUCK CAPITAL Q(p) are Compact Open Sets

Ai Hua Fan (1) , Shi Lei Fan

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

Any bounded tile of the field DOUBLE-STRUCK CAPITAL Q(p) of p-adic numbers is a compact open set up to a set of zero Haar measure. In this note, we present two simple and direct proofs of this fact.

Domaines: Mathématiques [math]

Ai Hua Fan, Shi Lei Fan. Bounded Tiles in DOUBLE-STRUCK CAPITAL Q(p) are Compact Open Sets. Acta Mathematica Sinica English Series, 2020, 36 (2), pp.189-195. ⟨10.1007/s10114-020-8520-4⟩. ⟨hal-03621995⟩