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Catalogue Information
Field name	Details
Dewey Class	514
Title	Inverse Limits ([Ebook]) : From Continua to Chaos / by W.T. Ingram, William S. Mahavier.
Author	Ingram, W. T. (William Thomas) , 1937-
Added Personal Name	Mahavier, William S.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2012.
Physical Details	XV, 217 pages, 49 illus. : online resource.
Series	Developments in mathematics 1389-2177 ; ; 25
ISBN	9781461417972
Summary Note	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. Â 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.:
Contents note	Inverse Limits on Intervals -- Inverse Limits in a General Setting -- Inverse Limits in Continuum Theory -- Brownâs Approximation Theorem -- Appendix: An Introduction to the Hilbert Cube -- Bibliography -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-1797-2
Links to Related Works	Subject References: Differentiable dynamical systems . Dynamical systems and ergodic theory . Functions, Inverse . Topology . Authors: author . Ingram, W. T. (William Thomas) 1937- . Mahavier, William S. . Corporate Authors: SpringerLink (Online service) . Series: Developments in mathematics . Classification: 514 . 514 (DDC 23) .

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Inverse Limits: From Continua to Chaos

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