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Lectures on Nielsen fixed point theory
 
Lectures on Nielsen fixed point theory
eBook ISBN:  978-0-8218-7600-8
Product Code:  CONM/14.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Lectures on Nielsen fixed point theory
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Lectures on Nielsen fixed point theory
eBook ISBN:  978-0-8218-7600-8
Product Code:  CONM/14.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 141983; 110 pp
    MSC: Primary 55; Secondary 57

    Starting with the simplest examples, this book gives an easy introduction to the subject, then explains several very recent developments. It makes available in the English language the covering space approach to Nielsen fixed point theory. As far as research value is concerned, the Nielsen theory of periodic points is published here for the first time, and an exposition and improvement of the latest progress in the Nielsen theory of fiber maps is provided.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • I. Fixed point classes and the Nielsen number
    • II. Computation of the Nielsen number
    • III. The fixed point class functor
    • IV. Fixed point classes of a fiber map
    • Historical Notes
    • Bibliography
    • Index
  • Reviews
     
     
    • These notes are a welcome addition to the literature and will undoubtedly stimulate further research in this area.

      M. A. Armstrong, Bull. London Math. Soc.
  • 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: 141983; 110 pp
MSC: Primary 55; Secondary 57

Starting with the simplest examples, this book gives an easy introduction to the subject, then explains several very recent developments. It makes available in the English language the covering space approach to Nielsen fixed point theory. As far as research value is concerned, the Nielsen theory of periodic points is published here for the first time, and an exposition and improvement of the latest progress in the Nielsen theory of fiber maps is provided.

  • Chapters
  • Introduction
  • I. Fixed point classes and the Nielsen number
  • II. Computation of the Nielsen number
  • III. The fixed point class functor
  • IV. Fixed point classes of a fiber map
  • Historical Notes
  • Bibliography
  • Index
  • These notes are a welcome addition to the literature and will undoubtedly stimulate further research in this area.

    M. A. Armstrong, Bull. London Math. Soc.
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
Please select which format for which you are requesting permissions.