Minimal non-invertible transformations of solenoids
Dariusz Tywoniuk
Colloquium Mathematicae, Tome 126 (2012), p. 243-252 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:284147 
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Dariusz Tywoniuk. Minimal non-invertible transformations of solenoids. Colloquium Mathematicae, Tome 126 (2012) pp. 243-252. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-2-7/