It is shown that 2-to-1 maps cannot be defined on certain solenoids, in particular on the dyadic solenoid, and on Knaster continua.
@article{bwmeta1.element.bwnjournal-article-fmv141i3p277bwm, author = {Wojciech D\k ebski}, title = {Two-to-one maps on solenoids and Knaster continua}, journal = {Fundamenta Mathematicae}, volume = {141}, year = {1992}, pages = {277-285}, zbl = {0822.54028}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv141i3p277bwm} }
Dębski, Wojciech. Two-to-one maps on solenoids and Knaster continua. Fundamenta Mathematicae, Tome 141 (1992) pp. 277-285. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv141i3p277bwm/
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