Every nondegenerate Peano continuum admits a pure mixing selfmap
Dynamical Systems
2026-04-07 v2
Abstract
We prove that every Peano continuum (a space that is a continuous image of ) admits a topologically mixing but not exact map. The constructed map has a dense set of periodic points.
Cite
@article{arxiv.2511.11271,
title = {Every nondegenerate Peano continuum admits a pure mixing selfmap},
author = {Klara Karasova and Michał Kowalewski and Piotr Oprocha},
journal= {arXiv preprint arXiv:2511.11271},
year = {2026}
}