**Contemporary Mathematics**

Volume: 152;
1993;
350 pp;
Softcover

MSC: Primary 54; 55;
Secondary 34; 58

**Print ISBN: 978-0-8218-5181-4
Product Code: CONM/152**

List Price: $73.00

AMS Member Price: $58.40

MAA Member Price: $65.70

**Electronic ISBN: 978-0-8218-7743-2
Product Code: CONM/152.E**

List Price: $68.00

AMS Member Price: $54.40

MAA Member Price: $61.20

# Nielsen Theory and Dynamical Systems

Share this page *Edited by *
*Christopher K. McCord*

This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Nielsen Theory and Dynamical Systems, held in June 1992 at Mount Holyoke College. Focusing on the interface between Nielsen fixed point theory and dynamical systems, this book provides an almost complete survey of the state of the art of Nielsen theory. Most of the articles are expository, making them accessible to both graduate students and researchers in algebraic topology, fixed point theory, and dynamical systems.

#### 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