Reidemeister orbit sets
Volume 183 / 2004
Fundamenta Mathematicae 183 (2004), 139-156
MSC: Primary 55M20.
DOI: 10.4064/fm183-2-5
Abstract
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.
