Abstract : 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.
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⟩