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One‐Dimensional p ‐Adic Subanalytic Sets
Author(s) -
van den Dries Lou,
Haskell Deirdre,
MacPherson Dugald
Publication year - 1999
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610798006917
Subject(s) - mathematics , prime (order theory) , ring (chemistry) , field (mathematics) , combinatorics , prime number , discrete mathematics , pure mathematics , chemistry , organic chemistry
In this paper we extend two theorems from [ 2 ] on p ‐adic subanalytic sets, where p is a fixed prime number, Q p is the field of p ‐adic numbers and Z p is the ring of p ‐adic integers. One of these theorems [ 2 , 3.32] says that each subanalytic subset of Z p is semialgebraic. This is extended here as follows.