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arXiv · 2511.11271

Every nondegenerate Peano continuum admits a pure mixing selfmap

Klara Karasova·Michał Kowalewski·Piotr Oprocha
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Abstract

We prove that every Peano continuum (a space that is a continuous image of $[0,1]$) admits a topologically mixing but not exact map. The constructed map has a dense set of periodic points.

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Klara Karasova, Michał Kowalewski, Piotr Oprocha. 2025-11-14. Every nondegenerate Peano continuum admits a pure mixing selfmap. https://doi.org/10.1090/proc%2F17765

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