Every nondegenerate Peano continuum admits a pure mixing selfmap

Proceedings of the American Mathematical Society 2026 Open access

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Authors: Klára Karasová, Michał Kowalewski, Piotr Oprocha
DOI: 10.1090/proc/17765
Cited by: 0

Abstract

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

Fields of Study & Subjects

Mathematical Dynamics and Fractals Advanced Topology and Set Theory Advanced Banach Space Theory

Publication details

Journal / source
Proceedings of the American Mathematical Society
Volume
154
Issue
10
Pages
4389–4403
Publication date
24 April 2026
Language
EN