Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 403

Preprint Number 403

Previous Next Preprint server

403. Marcus Tressl and Salma Kuhlmann
Comparison of Exponential-Logarithmic and Logarithmic-Exponential series

Submission date: 18 December 2011.


We explain how the field of logarithmic-exponential series constructed in [DMM1] and [DMM2] embeds as an exponential field in any field of exponential-logarithmic series constructed in [KK1], [K] and [KS]. On the other hand, we explain why no field of exponential-logarithmic series embeds in the field of logarithmic-exponential series. This clarifies why the two constructions are intrinsically different, in the sense that they produce non-isomorphic models of Th(R_{an, exp}); the elementary theory of the ordered field of real numbers, with the exponential function and restricted analytic functions.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1112.4189: pdf, ps.

Last updated: January 2 2012 11:25 Please send your corrections to: