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local definability

Journal of the Institute of Mathematics of Jussieu (1)

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1 results

LOCAL INTERDEFINABILITY OF WEIERSTRASS ELLIPTIC FUNCTIONS
Part of
- Number theory: Connections with logic
- Model theory
Gareth Jones, Jonathan Kirby, Tamara Servi
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 15 / Issue 4 / October 2016

Published online by Cambridge University Press:

24 November 2014, pp. 673-691

Print publication:

October 2016
- Article
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We explain which Weierstrass ${\wp}$-functions are locally definable from other ${\wp}$-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.