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

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.

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2020-02, Vol.36 (2), p.189-195
Main Authors: Fan, Ai Hua, Fan, Shi Lei
Format: Article
Language:English
Subjects:
Mathematics
Online Access:Get full text
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Summary: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.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-020-8520-4