The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. Extending Ferrario's work on Reidemeister sets, we obtain algebraic results such as addition formulae for Reidemeister orbit sets. Similar formulae for Nielsen type essential orbit numbers are also proved for fibre preserving maps.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm183-2-5,
author = {Boju Jiang and Seoung Ho Lee and Moo Ha Woo},
title = {Reidemeister orbit sets},
journal = {Fundamenta Mathematicae},
volume = {184},
year = {2004},
pages = {139-156},
zbl = {1074.55001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm183-2-5}
}
Boju Jiang; Seoung Ho Lee; Moo Ha Woo. Reidemeister orbit sets. Fundamenta Mathematicae, Tome 184 (2004) pp. 139-156. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm183-2-5/