Commun. Korean Math. Soc. 2013; 28(2): 361-369
Printed April 1, 2013
https://doi.org/10.4134/CKMS.2013.28.2.361
Copyright © The Korean Mathematical Society.
Seoung Ho Lee
Mokwon University
We introduce a Nielsen type number of a fibre preserving map, and show that it is a lower bound for the number of $n$-orbits in the homotopy class. Under suitable conditions we show that it is equal to the Nielsen type relative essential $n$-orbit number. We also give necessary and sufficient conditions for it and the essential $n$-orbit number to coincide.
Keywords: essential $n$-orbit classes, Nielsen type numbers, fibre spaces
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