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Local semianalytic geometry. (English) Zbl 0695.14013

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.
Reviewer: H.-C.King

MSC:

14Pxx Real algebraic and real-analytic geometry
32B20 Semi-analytic sets, subanalytic sets, and generalizations
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References:

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