# Nielsen Theory and Dynamical Systems

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*Christopher K. McCord*

#### Readership

Researchers and graduate students in algebraic topology, fixed point theory or dynamical systems.

# Table of Contents

## Nielsen Theory and Dynamical Systems

- Contents ix10 free
- Preface xi12 free
- Torus maps and Nielsen numbers 114 free
- Wecken properties for manifolds 922
- Lefschetz zeta functions and forced set of periods 2336
- One-parameter fixed point indices for periodic orbits 3346
- Dynamical zeta functions, Nielsen theory and Reidemeister torsion 4356
- Cycles for disk homeomorphisms and thick trees 6982
- Lefschetz trace formulae, zeta functions and torsion in dynamics 141154
- Recent developments in Nielsen theory and discrete groups 159172
- Local Nielsen fixed point theory and the local generalized H-Lefschetz number 177190
- Nielsen theory for periodic orbits and applications to dynamical systems 183196
- Genericity of homeomorphisms with connected stable and unstable sets 203216
- Lefschetz numbers for periodic points 215228
- The Burau representation of the braid group and the Nielsen-Thurston classification 229242
- Computing Nielsen numbers 249262
- The structure of isolated invariant sets and the Conley index 269282
- A survey of relative Nielsen fixed point theory 291304
- Classification of lifts of automorphisms of surfaces to the unit disk 311324
- Equivariant Nielsen fixed point theory and periodic points 341354