Inverse Limits From Continua to Chaos /

• Main Authors: Ingram, W.T (Author), Mahavier, William S. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2012.
• Series: Developments in Mathematics, 25
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Topology.; Dynamical Systems and Ergodic Theory.

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 con...

Table of Contents:

• Inverse Limits on Intervals
• Inverse Limits in a General Setting
• Inverse Limits in Continuum Theory
• Brown’s Approximation Theorem
• Appendix: An Introduction to the Hilbert Cube
• Bibliography
• Index.