3 papers
math.DS2026
Every nondegenerate Peano continuum admits a pure mixing selfmap
Klara Karasova, MichaÅ 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…
math.GN2024
Topological fractals revisited
Klára Karasová, Benjamin Vejnar
We prove that every Peano continuum with uncountably many local cut points is a topological fractal. This extends some recent results and it partially answers a conjecture by Hata.…