Preprint / Version 0 Iterated polynomials are dense Authors Pascal Autissier Jean-Philippe Furter Egor Yasinsky Abstract For any infinite field k and any positive integer r, we show constructively that the map sending each polynomial P $\in$ k[x] to its r-th iterate is dominant in various inductive limit topologies on the space of all polynomials. References Downloads PDF Posted 2025-11-26