MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1589

Preprint Number 1589

Previous Next Preprint server


1589. José Leonardo Ángel Bautista
The precontraction group of the field of logarithmic transseries 𝕋_{log}
E-mail:

Submission date: 28 March 2019

Abstract:

As a first step to understand the theory of the structure 𝕋_{log} of logarithmic transseries as an ordered valued logarithmic field, we focus on the map χ induced by the logarithm of 𝕋_{log} in its value group Γ_{log} and study the theory of the precontraction group (Γ_{log}, χ). Particularly, we show that this theory is model complete and complete, and we characterize all definable subsets of the discrete set χ(Γ_{log}).

Mathematics Subject Classification: 03C10

Keywords and phrases:

Full text arXiv 1903.12042: pdf, ps.


Last updated: April 9 2019 12:18 Please send your corrections to: