Value Groups and Residue Fields of Models of Real Exponentiation

Cite This

Files in this item

Checksum: MD5:b227bf175de2d76e9baf2921763532e8

KRAPP, Lothar Sebastian, 2019. Value Groups and Residue Fields of Models of Real Exponentiation. In: Journal of Logic & Analysis. Department of Philosophy, Carnegie Mellon University. 11(1). ISSN 1759-9008. Available under: doi: 10.4115/jla.2019.11.1

@article{Krapp2019Value-54697, title={Value Groups and Residue Fields of Models of Real Exponentiation}, year={2019}, doi={10.4115/jla.2019.11.1}, number={1}, volume={11}, issn={1759-9008}, journal={Journal of Logic & Analysis}, author={Krapp, Lothar Sebastian} }

2019 2021-08-24T10:18:38Z Krapp, Lothar Sebastian 2021-08-24T10:18:38Z Krapp, Lothar Sebastian Value Groups and Residue Fields of Models of Real Exponentiation 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 of cardinality kappa and kappa-saturated for an uncountable regular cardinal kappa with kappa^(<kappa) = kappa. eng terms-of-use

Downloads since Aug 24, 2021 (Information about access statistics)

Krapp_2-emrbxdy6djw62.pdf 26

This item appears in the following Collection(s)

Search KOPS


Browse

My Account