[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2008.45.5.1483

COMPUTATION OF THE NIELSEN TYPE NUMBERS FOR MAPS ON THE KLEIN BOTTLE

Kim, Hyun-Jung (Department of Mathematics Sogang University)
Lee, Jong-Bum (Department of Mathematics Sogang University)
Yoo, Won-Sok (Department of Applied Mathematics Kumoh National Institute of Technology)

Publication Information

Journal of the Korean Mathematical Society / v.45, no.5, 2008 , pp. 1483-1503 More about this Journal

Abstract

Let f : M ${\rightarrow}$ M be a self-map on the Klein bottle M. We compute the Lefschetz number and the Nielsen number of f by using the infra-nilmanifold structure of the Klein bottle and the averaging formulas for the Lefschetz numbers and the Nielsen numbers of maps on infra-nilmanifolds. For each positive integer n, we provide an explicit algorithm for a complete computation of the Nielsen type numbers $NP_n(f)$ and $N{\Phi}_{n}(f)\;of\;f^{n}$ .

Keywords

Klein bottle; Nielsen type numbers; weakly Jiang maps;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)
Times Cited By Web Of Science : 3 (Related Records In Web of Science)
Times Cited By SCOPUS : 3

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