[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2009.24.3.451

A NOTE ON THE SET OF ROOT CLASSES

Lee, Seoung-Ho (DEPARTMENT OF MATHEMATICS MOKWON UNIVERSITY)

Publication Information

Communications of the Korean Mathematical Society / v.24, no.3, 2009 , pp. 451-458 More about this Journal

Abstract

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;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

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