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MINIMAL SETS OF PERIODS FOR MAPS ON THE KLEIN BOTTLE
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 Title & Authors
MINIMAL SETS OF PERIODS FOR MAPS ON THE KLEIN BOTTLE
Kim, Ju-Young; Kim, Sung-Sook; Zhao, Xuezhi;
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 Abstract
The main results concern with the self maps on the Klein bottle. We obtain the Reidemeister numbers and the Nielsen numbers for all self maps on the Klein bottle. In terms of the Nielsen numbers of their iterates, we totally determine the minimal sets of periods for all homotopy classes of self maps on the Klein bottle.
 Keywords
periodic point;minimum set of periods;Nielsen number;Klein bottle;
 Language
English
 Cited by
1.
COMPUTATION OF THE NIELSEN TYPE NUMBERS FOR MAPS ON THE KLEIN BOTTLE,;;;

대한수학회지, 2008. vol.45. 5, pp.1483-1503 crossref(new window)
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Homotopical theory of periodic points of periodic homeomorphisms on closed surfaces, Topology and its Applications, 2009, 156, 15, 2527  crossref(new windwow)
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Self-maps on flat manifolds with infinitely many periods, Discrete and Continuous Dynamical Systems, 2012, 32, 6, 2223  crossref(new windwow)
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