Topological dimension and dynamical systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2015
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XV, 233 S.) 13 illus., 1 illus. in color |
| ISBN: | 9783319197944 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-319-19794-4 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804174859112022016 |
|---|---|
| adam_text | TOPOLOGICAL DIMENSION AND DYNAMICAL SYSTEMS
/ COORNAERT, MICHEL
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
TOPOLOGICAL DIMENSION
ZERO-DIMENSIONAL SPACES
TOPOLOGICAL DIMENSION OF POLYHEDRA
DIMENSION AND MAPS
SOME CLASSICAL COUNTEREXAMPLES
MEAN TOPOLOGICAL DIMENSION FOR CONTINUOUS MAPS
SHIFTS AND SUBSHIFTS OVER Z
APPLICATIONS OF MEAN DIMENSION TO EMBEDDING PROBLEMS
AMENABLE GROUPS
MEAN TOPOLOGICAL DIMENSION FOR ACTIONS OF AMENABLE GROUPS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
TOPOLOGICAL DIMENSION AND DYNAMICAL SYSTEMS
/ COORNAERT, MICHEL
: 2015
ABSTRACT / INHALTSTEXT
TRANSLATED FROM THE POPULAR FRENCH EDITION, 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 FOELNER’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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Coornaert, Michel |
| author_facet | Coornaert, Michel |
| author_role | aut |
| author_sort | Coornaert, Michel |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-19794-4 |
| format | Electronic eBook |
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| isbn | 9783319197944 |
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| spelling | Coornaert, Michel Verfasser aut Topological dimension and dynamical systems Michel Coornaert Cham [u.a.] Springer 2015 1 Online-Ressource (XV, 233 S.) 13 illus., 1 illus. in color txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 Mathematics Differentiable dynamical systems Topology Dynamical Systems and Ergodic Theory Mathematik Topologischer Raum (DE-588)4137586-5 gnd rswk-swf Topologischer Raum (DE-588)4137586-5 s 1\p DE-604 Erscheint auch als Druckausgabe 978-3-319-19793-7 https://doi.org/10.1007/978-3-319-19794-4 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028101626&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028101626&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Coornaert, Michel Topological dimension and dynamical systems Mathematics Differentiable dynamical systems Topology Dynamical Systems and Ergodic Theory Mathematik Topologischer Raum (DE-588)4137586-5 gnd |
| subject_GND | (DE-588)4137586-5 |
| title | Topological dimension and dynamical systems |
| title_auth | Topological dimension and dynamical systems |
| title_exact_search | Topological dimension and dynamical systems |
| title_full | Topological dimension and dynamical systems Michel Coornaert |
| title_fullStr | Topological dimension and dynamical systems Michel Coornaert |
| title_full_unstemmed | Topological dimension and dynamical systems Michel Coornaert |
| title_short | Topological dimension and dynamical systems |
| title_sort | topological dimension and dynamical systems |
| topic | Mathematics Differentiable dynamical systems Topology Dynamical Systems and Ergodic Theory Mathematik Topologischer Raum (DE-588)4137586-5 gnd |
| topic_facet | Mathematics Differentiable dynamical systems Topology Dynamical Systems and Ergodic Theory Mathematik Topologischer Raum |
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