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math.DS2025
Every nondegenerate Peano continuum admits a pure mixing selfmap
Klara Karasova, Michał Kowalewski, Piotr Oprocha
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…
math.DS2025
Chaos on Peano continua
Klára Karasová, Benjamin Vejnar
Generalizing the result of Agronsky and Ceder (1991), we prove that every Peano continuum admits a continuous transformation that is exact Devaney chaotic; that is, it has a dense…