MARC details
| 000 -LEADER |
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| fixed length control field |
02744 a2200265 4500 |
| 001 - CONTROL NUMBER |
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| control field |
136744 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20160408161123.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
160408b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319197937 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| Language of cataloging |
eng |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.39 |
| Edition number |
23 |
| Item number |
C778 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Coornaert, Michel. |
| 245 10 - TITLE STATEMENT |
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| Title |
Topological dimension and dynamical systems / |
| Statement of responsibility, etc |
Michel Coornaert. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Switzerland : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2015. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xv, 233 p. : |
| Other physical details |
illustrations ; |
| Dimensions |
24 cm. |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Universitext |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. Topological Dimension --<br/>2. Zero-Dimensional Spaces --<br/>3. Topological Dimension of Polyhedra --<br/>4. Dimension and Maps --<br/>5. Some Classical Counterexamples --<br/>6. Mean Topological Dimension for Continuous Maps --<br/>7. Shifts and Subshifts over Z --<br/>8. Applications of Mean Dimension to Embedding Problems --<br/>9. Amenable Groups --<br/>10. Mean Topological Dimension for Actions of Amenable Groups --<br/>Bibliography --<br/>Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
The goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov. The book examines how this invariant was successfully used by Elon Lindenstrauss and Benjamin Weiss to answer a long-standing open question about embeddings of minimal dynamical systems into shifts. A large number of revisions and additions have been made to the original text. Chapter 5 contains an entirely new section devoted to the Sorgenfrey line. Two chapters have also been added: Chapter 9 on amenable groups and Chapter 10 on mean topological dimension for continuous actions of countable amenable groups. These new chapters contain material that have never before appeared in textbook form. The chapter on amenable groups is based on Følner's characterization of amenability and may be read independently from the rest of the book. Although the contents of this book lead directly to several active areas of current research in mathematics and mathematical physics, the prerequisites needed for reading it remain modest; essentially some familiarities with undergraduate point-set topology and, in order to access the final two chapters, some acquaintance with basic notions in group theory. Topological Dimension and Dynamical Systems is intended for graduate students, as well as researchers interested in topology and dynamical systems. Some of the topics treated in the book directly lead to research areas that remain to be explored. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Topological dynamics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differentiable dynamical systems. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Dynamical Systems and Ergodic Theory. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
