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.

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Posted

2025-11-26