Geodesic
Mappings on the dyadic solenoid
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 4, pp. 697-699.

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Answering an open problem in [3] we show that for an even number $k$, there exist no $k$ to $1$ mappings on the dyadic solenoid.
Classification : 22C05, 54F15
Keywords: Pontryagin duality; $k$ to $1$ maps; solenoids 
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     title = {Mappings on the dyadic solenoid},
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Aarts, Jan M.; Fokkink, Robbert J. Mappings on the dyadic solenoid. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 4, pp. 697-699. http://geodesic.mathdoc.fr/item/CMUC_2003__44_4_a13/