Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1392

Preprint Number 1392

Previous Next Preprint server

1392. Lothar Sebastian Krapp
Value Groups and Residue Fields of Models of Real Exponentiation

Submission date: 8 March 2018


Let F be an archimedean field, G a divisible ordered abelian group and h a group exponential on G. A triple (F,G,h) is realised in a non-archimedean exponential field (K,exp) if the residue field of K under the natural valuation is F and the induced exponential group of (K,exp) is (G,h). We give a full characterisation of all triples (F,G,h) which can be realised in a model of real exponentiation in the following two cases: i) G is countable. ii) G is κ-saturated for an uncountable regular cardinal κ with κ<κ=κ.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1803.03153: pdf, ps.

Last updated: March 15 2018 08:11 Please send your corrections to: