Iterated polynomials are dense
Algebraic Geometry
2025-11-27 v1
Abstract
For any infinite field k and any positive integer r, we show constructively that the map sending each polynomial P k[x] to its r-th iterate is dominant in various inductive limit topologies on the space of all polynomials.
Cite
@article{arxiv.2511.21241,
title = {Iterated polynomials are dense},
author = {Pascal Autissier and Jean-Philippe Furter and Egor Yasinsky},
journal= {arXiv preprint arXiv:2511.21241},
year = {2025}
}