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http://dx.doi.org/10.4134/JKMS.2008.45.3.883

MINIMAL SETS OF PERIODS FOR MAPS ON THE KLEIN BOTTLE  

Kim, Ju-Young (Department of Mathematics Catholic University of Daegu)
Kim, Sung-Sook (Department of Applied Mathematics Paichai University)
Zhao, Xuezhi (Department of Mathematics Capital Normal University)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.3, 2008 , pp. 883-902 More about this Journal
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;
Citations & Related Records

Times Cited By Web Of Science : 3  (Related Records In Web of Science)
Times Cited By SCOPUS : 3
연도 인용수 순위
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