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On finite-sheeted covering mappings onto solenoids
Author(s):
R.
N.
Gumerov
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2771-2778.
MSC (2000):
Primary 54F15
Posted:
February 25, 2005
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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:
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
Posted:
February 25, 2005
Communicated by:
Alan Dow
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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