Reidemeister orbit sets

Boju Jiang; Seoung Ho Lee; Moo Ha Woo

Fundamenta Mathematicae (2004)

  • Volume: 183, Issue: 2, page 139-156
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Boju Jiang, Seoung Ho Lee, and Moo Ha Woo. "Reidemeister orbit sets." Fundamenta Mathematicae 183.2 (2004): 139-156. <http://eudml.org/doc/282876>.

@article{BojuJiang2004,
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.},
author = {Boju Jiang, Seoung Ho Lee, Moo Ha Woo},
journal = {Fundamenta Mathematicae},
keywords = {Reidemeister sets; Reidemeister orbit sets; Nielsen type essential -orbit numbers; essential -orbit representatives},
language = {eng},
number = {2},
pages = {139-156},
title = {Reidemeister orbit sets},
url = {http://eudml.org/doc/282876},
volume = {183},
year = {2004},
}

TY - JOUR
AU - Boju Jiang
AU - Seoung Ho Lee
AU - Moo Ha Woo
TI - Reidemeister orbit sets
JO - Fundamenta Mathematicae
PY - 2004
VL - 183
IS - 2
SP - 139
EP - 156
AB - 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.
LA - eng
KW - Reidemeister sets; Reidemeister orbit sets; Nielsen type essential -orbit numbers; essential -orbit representatives
UR - http://eudml.org/doc/282876
ER -

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