كتاب
Inverse limits: from continua to chaos
| العنوان: | Inverse limits: from continua to chaos |
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| المؤلفون: | Ingram, W. T. (William Thomas), 1937- |
| المساهمون: | Mahavier, William S. |
| بيانات النشر: | New York, NY : Springer, c2012. |
| سنة النشر: | 2012 |
| وصف مادي: | xv, 217 p. : ill. ; 24 cm. |
| سلاسل: | Developments in mathematics Developments in mathematics |
| مصطلحات موضوعية: | Topology., Functions, Inverse., Differentiable dynamical systems., Mathematics. |
| الوصف: | 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. |
| ملاحظة حول المحتويات: | 1. Inverse limits on intervals -- 2. Inverse limits in a general setting -- 3. Inverse limits in continuum theory -- 4. Brown's approximation theorem -- 5. Appendix: an introduction to the Hilbert cube. |
| Original Identifier: | ocn752068476 |
| نوع الوثيقة: | Book |
| اللغة: | English |
| ردمك: | 978-1-4614-1796-5 1-4614-1796-1 |
| حقوق: | This record is part of the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others, OCLC Online Computer Library Center, Inc. and the Library of Congress. |
| ملاحظات: | Includes bibliographical references (p. 189-214) and index. |
| رقم الأكسشن: | edshlc.013097829.9 |
| قاعدة البيانات: | Harvard Library Bibliographic Dataset |
Full Text Finder | ردمك: | 9781461417965 1461417961 |
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