Local semianalytic geometry
type: Item
instance of: scholarly article
title: Local semianalytic geometry
zbMATH Open document ID: 0695.14013
DOI: 10.1007/BF01168873
author: Robert O. Robson
published in: Manuscripta Mathematica
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155378
review text: This paper treats the theory of semianalytic function germs over real closed fields more general than \({\mathbb{R}}\). In particular it considers real closed fields which are direct limits of countable microbial subfields. (Microbial fields have some nonzero element whose powers converge to 0.) The main theorems are a Weierstrass preparation theorem and an Artin-Lang property.
reviewed by: Henry C. King
Mathematics Subject Classification ID: 14Pxx
Mathematics Subject Classification ID: 32B20
zbMATH DE Number: 4137947
zbMATH Keywords: semianalytic function germs
zbMATH Keywords: microbial subfields
zbMATH Keywords: Weierstrass preparation theorem
MaRDI profile type: Publication
cites work: On the real spectrum of a ring and its application to semialgebraic geometry
cites work: Q3207097
cites work: Q3672107
cites work: The homotopy axiom in semialgebraic cohomology.
cites work: Q3889183
cites work: Q3223453
description: scientific article; zbMATH DE number 4137947