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ONE-DIMENSIONAL p-ADIC SUBANALYTIC SETS

Published online by Cambridge University Press:  01 February 1999

LOU VAN DEN DRIES ,
DEIRDRE HASKELL  and
DUGALD MACPHERSON
LOU VAN DEN DRIES
Affiliation:
Department of Mathematics, University of Illinois, Urbana, IL 61801, USA
DEIRDRE HASKELL
Affiliation:
Department of Mathematics, College of the Holy Cross, Worcester, MA 01610, USA
DUGALD MACPHERSON
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT
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Abstract

In this paper we extend two theorems from [2] on p-adic subanalytic sets, where p is a fixed prime number, Qp is the field of p-adic numbers and Zp is the ring of p- adic integers. One of these theorems [2, 3.32] says that each subanalytic subset of Zp is semialgebraic. This is extended here as follows.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 1 - 20
Copyright
The London Mathematical Society 1999

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