Variants of Schanuel's conjecture

TL;DR

This paper compiles various versions of Schanuel's conjecture and explores their interrelations, providing a historical overview of discussions within the mathematical logic community from 2002 to 2007.

Contribution

It presents a collection of conjecture variants and their known dependencies, offering a historical perspective on their development and discussion.

Findings

Multiple variants of Schanuel's conjecture are identified.

Known logical dependencies between these variants are summarized.

The paper serves as a reference for the conjecture's landscape as of 2007.

Abstract

This is a collection of variants of Schanuel's conjecture and the known dependencies between them. It was originally written in 2007, and made available for a time on my webpage. I have been asked by a few people to make it available again and have taken the opportunity to make some minor revisions now in January 2018. The treatment is far from exhaustive of the literature, and for the most part consists of statements which were under discussion in the Oxford logic group between around 2002 and 2007.