Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 2295

Preprint Number 2295

Previous Next Preprint server

2295. Vahagn Aslanyan, Robert Henderson, Mark Kamsma, Jonathan Kirby
Independence relations for exponential fields

Submission date: 6 November 2022


We give four different independence relations on any exponential field. Each is a canonical independence relation on a suitable Abstract Elementary Class of exponential fields, showing that two of these are NSOP_1-like and non-simple, a third is stable, and the fourth is the quasiminimal pregeometry of Zilber's exponential fields, previously known to be stable (and uncountably categorical). We also characterise the fourth independence relation in terms of the third, strong independence.

Mathematics Subject Classification: 03C45, 03C65, 03C48

Keywords and phrases:

Full text arXiv 2211.03071: pdf, ps.

Last updated: November 12 2022 21:07 Please send your corrections to: