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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On finite-sheeted covering mappings onto solenoids


Author: R. N. Gumerov
Journal: Proc. Amer. Math. Soc. 133 (2005), 2771-2778
MSC (2000): Primary 54F15
Published electronically: February 25, 2005
MathSciNet review: 2146226
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-05-07792-0
PII: S 0002-9939(05)07792-0
Keywords: Covering mapping, limit mapping, periodic point, solenoid
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
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.