Submission date: 17 February 2014.

Abstract:

We explain which Weierstrass elliptic functions are locally definable from other elliptic functions and exponentiation in the context of o-minimal structures. The proofs make use of the predimension method from model theory to exploit functional transcendence theorems in a systematic way.

Mathematics Subject Classification: 03C64 11U09

Keywords and phrases:

Full text arXiv 1402.3963: pdf, ps.