Advertisement

Inverse Limits

From Continua to Chaos

  • W.T. Ingram
  • William S. Mahavier

Part of the Developments in Mathematics book series (DEVM, volume 25)

Table of contents

  1. Front Matter
    Pages i-xv
  2. W. T. Ingram, William S. Mahavier
    Pages 1-74
  3. W. T. Ingram, William S. Mahavier
    Pages 75-129
  4. W. T. Ingram, William S. Mahavier
    Pages 131-154
  5. W. T. Ingram, William S. Mahavier
    Pages 155-165
  6. W. T. Ingram, William S. Mahavier
    Pages 167-187
  7. Back Matter
    Pages 189-217

About this book

Introduction

Inverse limits provide a powerful tool for constructing complicated spaces from simple ones. They also can turn the study of a dynamical system consisting of a space and a self-map into a study of a (likely more complicated) space and a self-homeomorphism. In four chapters along with an appendix containing background material the authors develop the theory of inverse limits. The book begins with an introductory study of inverse limits on [0,1] before moving to a general treatment of the subject. Special topics in continuum theory complete the book. Although it is not a book on dynamics, the influence of dynamics can be seen throughout; for instance, it includes studies of inverse limits with maps from families of maps that are of interest to dynamicists such as the logistic and the tent families.

 

This book will serve as a useful reference to graduate students and researchers in continuum theory and dynamical systems. Researchers working in applied areas who are discovering inverse limits in their work will also benefit from this book.

Keywords

chaos continua dynamics inverse limits mappings and set valued functions

Authors and affiliations

  • W.T. Ingram
    • 1
  • William S. Mahavier
    • 2
  1. 1.Science and Technology, Mathematics and StatisticsMissouri University ofRollaUSA
  2. 2., Professor EmeritusEmory UniversityAtlantaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-1797-2
  • Copyright Information Springer Science+Business Media, LLC 2012
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-1796-5
  • Online ISBN 978-1-4614-1797-2
  • Series Print ISSN 1389-2177
  • Buy this book on publisher's site