Open Research Index

A transexponential o-minimal structure

Artem Chernikov

Palomar Registrypalomar/PALOMAR-2026-09-21-000006Sep 21, 2026math.LOscore 0

The real field expanded by the function $x\mapsto A(1+x^2)$, where $A$ is a normalized analytic Abel function for $e^x-1$, is an o-minimal structure that defines a function that grows faster than any finite iterate of the exponential function.

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