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Nielsen Theory and Dynamical Systems
 
Nielsen Theory and Dynamical Systems
eBook ISBN:  978-0-8218-7743-2
Product Code:  CONM/152.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Nielsen Theory and Dynamical Systems
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Nielsen Theory and Dynamical Systems
eBook ISBN:  978-0-8218-7743-2
Product Code:  CONM/152.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1521993; 350 pp
    MSC: Primary 54; 55; Secondary 34; 58

    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
     
     
    • Articles
    • Ll. Alsedà, S. Baldwin, J. Llibre, R. Swanson and W. Szlenk — Torus maps and Nielsen numbers [ MR 1243466 ]
    • Robert F. Brown — Wecken properties for manifolds [ MR 1243467 ]
    • Josefina Casasayas, Jaume Llibre and Ana Nunes — Lefschetz zeta functions and forced set of periods [ MR 1243468 ]
    • Dončo Dimovski — One-parameter fixed point indices for periodic orbits [ MR 1243469 ]
    • Alexander Fel′shtyn and Richard Hill — Dynamical zeta functions, Nielsen theory and Reidemeister torsion [ MR 1243470 ]
    • John Franks and Michał Misiurewicz — Cycles for disk homeomorphisms and thick trees [ MR 1243471 ]
    • Ross Geoghegan and Andrew Nicas — Lefschetz trace formulae, zeta functions and torsion in dynamics [ MR 1243472 ]
    • Jane Gilman — Recent developments in Nielsen theory and discrete groups [ MR 1243473 ]
    • Evelyn L. Hart — Local Nielsen fixed point theory and the local generalized $H$-Lefschetz number [ MR 1243474 ]
    • Bo Ju Jiang — Nielsen theory for periodic orbits and applications to dynamical systems [ MR 1243475 ]
    • Jorge Lewowicz and Juán Tolosa — Genericity of homeomorphisms with connected stable and unstable sets [ MR 1243476 ]
    • Jaume Llibre — Lefschetz numbers for periodic points [ MR 1243477 ]
    • Takashi Matsuoka — The Burau representation of the braid group and the Nielsen-Thurston classification [ MR 1243478 ]
    • Christopher K. McCord — Computing Nielsen numbers [ MR 1243479 ]
    • Konstantin Mischaikow — The structure of isolated invariant sets and the Conley index [ MR 1243480 ]
    • Helga Schirmer — A survey of relative Nielsen fixed point theory [ MR 1243481 ]
    • Lev Slutskin — Classification of lifts of automorphisms of surfaces to the unit disk [ MR 1243482 ]
    • Peter Wong — Equivariant Nielsen fixed point theory and periodic points [ MR 1243483 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1521993; 350 pp
MSC: Primary 54; 55; Secondary 34; 58

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.

  • Articles
  • Ll. Alsedà, S. Baldwin, J. Llibre, R. Swanson and W. Szlenk — Torus maps and Nielsen numbers [ MR 1243466 ]
  • Robert F. Brown — Wecken properties for manifolds [ MR 1243467 ]
  • Josefina Casasayas, Jaume Llibre and Ana Nunes — Lefschetz zeta functions and forced set of periods [ MR 1243468 ]
  • Dončo Dimovski — One-parameter fixed point indices for periodic orbits [ MR 1243469 ]
  • Alexander Fel′shtyn and Richard Hill — Dynamical zeta functions, Nielsen theory and Reidemeister torsion [ MR 1243470 ]
  • John Franks and Michał Misiurewicz — Cycles for disk homeomorphisms and thick trees [ MR 1243471 ]
  • Ross Geoghegan and Andrew Nicas — Lefschetz trace formulae, zeta functions and torsion in dynamics [ MR 1243472 ]
  • Jane Gilman — Recent developments in Nielsen theory and discrete groups [ MR 1243473 ]
  • Evelyn L. Hart — Local Nielsen fixed point theory and the local generalized $H$-Lefschetz number [ MR 1243474 ]
  • Bo Ju Jiang — Nielsen theory for periodic orbits and applications to dynamical systems [ MR 1243475 ]
  • Jorge Lewowicz and Juán Tolosa — Genericity of homeomorphisms with connected stable and unstable sets [ MR 1243476 ]
  • Jaume Llibre — Lefschetz numbers for periodic points [ MR 1243477 ]
  • Takashi Matsuoka — The Burau representation of the braid group and the Nielsen-Thurston classification [ MR 1243478 ]
  • Christopher K. McCord — Computing Nielsen numbers [ MR 1243479 ]
  • Konstantin Mischaikow — The structure of isolated invariant sets and the Conley index [ MR 1243480 ]
  • Helga Schirmer — A survey of relative Nielsen fixed point theory [ MR 1243481 ]
  • Lev Slutskin — Classification of lifts of automorphisms of surfaces to the unit disk [ MR 1243482 ]
  • Peter Wong — Equivariant Nielsen fixed point theory and periodic points [ MR 1243483 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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