Geodesic
Reidemeister orbit sets
Boju Jiang 1   ; Seoung Ho Lee 2   ; Moo Ha Woo 3
1 Peking University Beijing 100871, China
2 Mokwon University Daejeon 302-729, Korea
3 Korea University Seoul 136-701, Korea
Fundamenta Mathematicae, Tome 183 (2004) no. 2, pp. 139-156 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm183-2-5
Mots-clés : reidemeister orbit set plays crucial role nielsen type theory periodic orbits much reidemeister set does nielsen fixed point theory extending ferrarios work reidemeister sets obtain algebraic results addition formulae reidemeister orbit sets similar formulae nielsen type essential orbit numbers proved fibre preserving maps

Boju Jiang  1   ; Seoung Ho Lee  2   ; Moo Ha Woo  3

1 Peking University Beijing 100871, China
2 Mokwon University Daejeon 302-729, Korea
3 Korea University Seoul 136-701, Korea 
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Boju Jiang; Seoung Ho Lee; Moo Ha Woo. Reidemeister orbit sets. Fundamenta Mathematicae, Tome 183 (2004) no. 2, pp. 139-156. doi: 10.4064/fm183-2-5

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