On finite-sheeted covering mappings onto solenoids
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Abstract:
We study limit mappings from a solenoid onto itself. It is shown that each equivalence class of finite-sheeted covering mappings from connected topological spaces onto a solenoid is determined by a limit mapping. Properties of periodic points of limit mappings are also studied.References
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Additional Information
- R. N. Gumerov
- Affiliation: Department of Mechanics and Mathematics, Kazan State University, Kremlevskaya 18, Kazan, 420008, Tatarstan, Russian Federation
- Email: renat.gumerov@ksu.ru
- Received by editor(s): December 16, 2003
- Received by editor(s) in revised form: April 19, 2004
- Published electronically: February 25, 2005
- Communicated by: Alan Dow
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 2771-2778
- MSC (2000): Primary 54F15
- DOI: https://doi.org/10.1090/S0002-9939-05-07792-0
- MathSciNet review: 2146226