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One‐Dimensional p‐Adic Subanalytic Sets
Journal article

One‐Dimensional p‐Adic Subanalytic Sets

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.

Authors

van den Dries L; Haskell D; MacPherson D

Journal

Journal of the London Mathematical Society, Vol. 59, No. 1, pp. 1–20

Publisher

Wiley

Publication Date

February 1999

DOI

10.1112/s0024610798006917

ISSN

0024-6107