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Topological theory of dynamical systems : recent advances /

This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians. Although some of the topics discussed are relatively new, others are not: this book is not...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Aoki, Nobuo, 1927-
Otros Autores: Hiraide, K. (K�oichi)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; New York : North-Holland, 1994.
Colección:North-Holland mathematical library ; v. 52.
Temas:
Acceso en línea:Texto completo
Texto completo
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MARC

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100 1 |a Aoki, Nobuo,  |d 1927- 
245 1 0 |a Topological theory of dynamical systems :  |b recent advances /  |c N. Aoki, K. Hiraide. 
260 |a Amsterdam ;  |a New York :  |b North-Holland,  |c 1994. 
300 |a 1 online resource (viii, 416 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a North-Holland mathematical library ;  |v v. 52 
520 |a This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians. Although some of the topics discussed are relatively new, others are not: this book is not a collection of research papers, but a textbook to present recent developments of the theory that could be the foundations for future developments. This book contains a new theory developed by the authors to deal with problems occurring in diffentiable dynamics that are within the scope of general topology. To follow it, the book provides an adequate foundation for topological theory of dynamical systems, and contains tools which are sufficiently powerful throughout the book. Graduate students (and some undergraduates) with sufficient knowledge of basic general topology, basic topological dynamics, and basic algebraic topology will find little difficulty in reading this book. 
504 |a Includes bibliographical references (pages 402-410) and index. 
588 0 |a Print version record. 
505 0 |a Front Cover; Topological Theory of Dynamical Systems: Recent Advances; Copyright Page; Contents; INTRODUCTION; CHAPTER 1. Some Properties of Anosoy Systems; CHAPTER 2. Dynamics of Continuous Maps; CHAPTER 3. Nonwandering Sets; CHAPTER 4. Markov Partitions; CHAPTER 5. Local Product Structures; CHAPTER 6. TA-Covering Maps; CHAPTER 7. Solenoidal Groups and Self-covering Maps; CHAPTER 8. TA-Covering Maps of Tori; CHAPTER 9. Perturbations of Hyperbolic Toral Endomorphisms; CHAPTER 10. Fixed Point Indices; CHAPTER 11. Foundations of Ergodic Theory; REFERENCES; INDEX. 
650 0 |a Differentiable dynamical systems. 
650 0 |a Topological dynamics. 
650 6 |a Dynamique diff�erentiable.  |0 (CaQQLa)201-0040977 
650 6 |a Dynamique topologique.  |0 (CaQQLa)201-0040976 
650 7 |a MATHEMATICS  |x Topology.  |2 bisacsh 
650 7 |a Differentiable dynamical systems  |2 fast  |0 (OCoLC)fst00893426 
650 7 |a Topological dynamics  |2 fast  |0 (OCoLC)fst01152680 
650 7 |a Dynamique diff�erentiable.  |2 ram 
650 7 |a Dynamique topologique.  |2 ram 
653 0 |a Algebraic topology 
700 1 |a Hiraide, K.  |q (K�oichi) 
776 0 8 |i Print version:  |a Aoki, Nobuo, 1927-  |t Topological theory of dynamical systems.  |d Amsterdam ; New York : North-Holland, 1994  |z 0444899170  |z 9780444899170  |w (DLC) 94011678  |w (OCoLC)30110804 
830 0 |a North-Holland mathematical library ;  |v v. 52. 
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