Minimal non-invertible transformations of solenoids

Dariusz Tywoniuk. "Minimal non-invertible transformations of solenoids." Colloquium Mathematicae 127.2 (2012): 243-252. <http://eudml.org/doc/284147>.

@article{DariuszTywoniuk2012,
abstract = {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.},
author = {Dariusz Tywoniuk},
journal = {Colloquium Mathematicae},
keywords = {minimal dynamical system; discrete dynamical system; noninvertible transformation; solenoid; continuum},
language = {eng},
number = {2},
pages = {243-252},
title = {Minimal non-invertible transformations of solenoids},
url = {http://eudml.org/doc/284147},
volume = {127},
year = {2012},
}

TY - JOUR
AU - Dariusz Tywoniuk
TI - Minimal non-invertible transformations of solenoids
JO - Colloquium Mathematicae
PY - 2012
VL - 127
IS - 2
SP - 243
EP - 252
AB - 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.
LA - eng
KW - minimal dynamical system; discrete dynamical system; noninvertible transformation; solenoid; continuum
UR - http://eudml.org/doc/284147
ER -