Mappings on the dyadic solenoid
Aarts, Jan M. ; Fokkink, Robbert J.
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003), p. 697-699 / Harvested from Czech Digital Mathematics Library

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.

Publié le : 2003-01-01
Classification:  22C05,  54F15
@article{119424,
     author = {Jan M. Aarts and Robbert J. Fokkink},
     title = {Mappings on the dyadic solenoid},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {44},
     year = {2003},
     pages = {697-699},
     zbl = {1099.22005},
     mrnumber = {2062886},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119424}
}
Aarts, Jan M.; Fokkink, Robbert J. Mappings on the dyadic solenoid. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) pp. 697-699. http://gdmltest.u-ga.fr/item/119424/

Aarts J.M. The structure of orbits in dynamical systems, Fund. Math. 129 (1988), 39-58. (1988) | MR 0954894 | Zbl 0664.54026

Aarts J.M.; Fokkink R.J. The classification of solenoids, Proc. Amer. Math. Soc. 111 (1991), 1161-1163. (1991) | MR 1042260 | Zbl 0768.54026

Charatonik J.J.; Covarrubias P.P. On covering mappings on solenoids, Proc. Amer. Math. Soc. 130 (2002), 2145-2154. (2002) | MR 1896052 | Zbl 0989.54038

Hewitt E.; Ross K.A. Abstract Harmonic Analysis, Vol. I, Die Grundlehren der mathematischen Wissenschaften, Bd. 115, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963. | MR 0156915 | Zbl 0837.43002

Krupski P. Means on solenoids, Proc. Amer. Math. Soc. 131 (2003), 1925-1929. (2003) | MR 1955283 | Zbl 1029.54041

Scheffer W.A. Maps between topological groups that are homotopic to homomorphisms, Proc. Amer. Math. Soc. 33 (1972), 562-567. (1972) | MR 0301130 | Zbl 0236.22008

Zhou Youcheng Covering mappings on solenoids and their dynamical properties, Chinese Sci. Bull. 45 (2000), 1066-1070. (2000) | MR 1777211