Geodesic
Minimal non-invertible transformations of solenoids
Dariusz Tywoniuk1
1 Institute of Mathematics and Computer Science Wrocław University of Technology 50-372 Wrocław, Poland
Colloquium Mathematicum, Tome 127 (2012) no. 2, pp. 243-252.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm127-2-7
Mots-clés : construct continuous non invertible minimal transformation arbitrary solenoid since solenoids other compact monothetic groups admit minimal homeomorphisms result allows classify solenoids among continua admitting invertible non invertible continuous minimal maps

Dariusz Tywoniuk 1

1 Institute of Mathematics and Computer Science Wrocław University of Technology 50-372 Wrocław, Poland 
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Dariusz Tywoniuk. Minimal non-invertible transformations of solenoids. Colloquium Mathematicum, Tome 127 (2012) no. 2, pp. 243-252. doi : 10.4064/cm127-2-7. http://geodesic.mathdoc.fr/articles/10.4064/cm127-2-7/

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