Local semianalytic geometry (Q909733)

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.