Local semianalytic geometry
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.
scientific article; zbMATH DE number 4137947
scientific article