An introduction to inverse limits with set-valued functions

✍ Scribed by W.T. Ingram (auth.)

Publisher: Springer-Verlag New York
Year: 2012
Tongue: English
Leaves: 96
Series: SpringerBriefs in mathematics
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Inverse limits with set-valued functions are quickly becoming a popular topic of research due to their potential applications in dynamical systems and economics. This brief provides a concise introduction dedicated specifically to such inverse limits. The theory is presented along with detailed examples which form the distinguishing feature of this work. The major differences between the theory of inverse limits with mappings and the theory with set-valued functions are featured prominently in this book in a positive light.

The reader is assumed to have taken a senior level course in analysis and a basic course in topology. Advanced undergraduate and graduate students, and researchers working in this area will find this brief useful.

✦ Table of Contents

Front Matter....Pages i-xii
Basics....Pages 1-11
Connectedness....Pages 13-46
Mappings versus Set-Valued Functions....Pages 47-58
Mapping Theorems....Pages 59-65
Dimension....Pages 67-76
Problems....Pages 77-83
Back Matter....Pages 85-86

✦ Subjects

Dynamical Systems and Ergodic Theory; Ordinary Differential Equations; Game Theory, Economics, Social and Behav. Sciences; Topology

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