Minimal non-invertible transformations of solenoids

• Autorzy: Dariusz Tywoniuk
• Języki publikacji: EN

Abstrakty

EN

We construct a continuous non-invertible minimal transformation of an arbitrary solenoid. Since solenoids, as all other compact monothetic groups, also admit minimal homeomorphisms, our result allows one to classify solenoids among continua admitting both invertible and non-invertible continuous minimal maps.

Kategorie tematyczne

• 54H20: Topological dynamics
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 127
• Numer: 2
• Strony: 243-252

Daty

wydano

2012

Twórcy

autor

Dariusz Tywoniuk

• Institute of Mathematics and Computer Science, Wrocław University of Technology, 50-372 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm127-2-7