Inverse limits provide a powerful tool for constructing complicated spaces from simple ones. They also 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 introduction through 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.
Product Identifiers
Publisher
Springer-Verlag New York Inc.
ISBN-13
9781461417965
eBay Product ID (ePID)
111625387
Product Key Features
Author
William S. Mahavier, W.T. Ingram
Publication Name
Inverse Limits: from Continua to Chaos
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2011
Type
Textbook
Number of Pages
220 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Volume
25
Item Weight
524g
Additional Product Features
Title_Author
William S. Mahavier, W.T. Ingram
Series Title
Developments in Mathematics
Country/Region of Manufacture
United States
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