Commun. Korean Math. Soc. 2009; 24(3): 451-458
Printed September 1, 2009
https://doi.org/10.4134/CKMS.2009.24.3.451
Copyright © The Korean Mathematical Society.
Seoung Ho Lee
Mokwon University
The set of root classes plays a crucial role in the Nielsen root theory. Extending Brown et al.'s work on the set of root classes of iterates of maps, we rearrange it into the reduced orbit set and show that under suitable hypotheses, any reduced orbit has the full depth property as in the Nielsen type theory of periodic orbits.
Keywords: roots of map iterates, reduced orbit sets, full depth property
MSC numbers: Primary 55M20, 57N99
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