Topics in orbit equivalence:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2004
|
| Series: | Lecture notes in mathematics
1852 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 134 S. |
| ISBN: | 3540226036 9783540226031 |
Staff View
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| 490 | 1 | |a Lecture notes in mathematics |v 1852 | |
| 650 | 4 | |a Ergodentheorie - Gruppenoperation - Äquivalenzrelation | |
| 650 | 4 | |a Descriptive set theory | |
| 650 | 4 | |a Equivalence relations (Set theory) | |
| 650 | 4 | |a Ergodic theory | |
| 650 | 4 | |a Topological transformation groups | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
I Orbit Equivalence 1
1 Group Actions and Equivalence Relations 1
2 Invariant Measures 3
3 Ergodicity 4
4 Isomorphism and Orbit Equivalence 6
II Amenability and Hyperfiniteness 7
5 Amenable Groups 7
6 Hyperfiniteness 17
7 Dye s Theorem 23
8 Quasi invariant Measures 33
9 Amenable Equivalence Relations 36
10 Amenability vs. Hyperfiniteness 43
11 Groups of Polynomial Growth 47
12 Generic Hyperfiniteness 50
13 Generic Compressibility 51
III Costs of Equivalence Relations and Groups 55
14 Preliminaries 55
15 Countable Borel Equivalence Relations 56
16 More on Invariant Measures 57
17 Graphings of Equivalence Relations 58
18 Cost of an Equivalence Relation 59
19 Treeings of an Equivalence Relation 65
20 The Cost of a Smooth Equivalence Relation 66
21 The Cost of a Complete Section 68
22 Cost and Hyperfiniteness 69
23 Joins 73
24 Commuting Equivalence Relations 76
25 Subequivalence Relations of Finite Index 81
26 Cheap Equivalence Relations 84
X Contents
27 Free and Amalgamated Joins 85
28 Costs and Free Actions 98
29 Cost of a Group 107
30 Treeable Groups 113
31 Cost and Amenable Groups 115
32 Generating Subgroups 117
33 Products 117
34 Subgroups of Finite Index 119
35 Cheap Groups 120
36 Free and Amalgamated Products 123
37 HNN extensions 125
38 A List of Open Problems 126
References 129
Index 131
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:59:37Z |
| institution | BVB |
| isbn | 3540226036 9783540226031 |
| language | English |
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| physical | X, 134 S. |
| publishDate | 2004 |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Kechris, Alexander S. 1946- Verfasser (DE-588)109300025 aut Topics in orbit equivalence Alexander S. Kechris ; Benjamin D. Miller Berlin [u.a.] Springer 2004 X, 134 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1852 Ergodentheorie - Gruppenoperation - Äquivalenzrelation Descriptive set theory Equivalence relations (Set theory) Ergodic theory Topological transformation groups Gruppenoperation (DE-588)4158467-3 gnd rswk-swf Äquivalenzrelation (DE-588)4141500-0 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 s Gruppenoperation (DE-588)4158467-3 s Äquivalenzrelation (DE-588)4141500-0 s DE-604 Miller, Benjamin D. Verfasser aut Lecture notes in mathematics 1852 (DE-604)BV000676446 1852 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012870288&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kechris, Alexander S. 1946- Miller, Benjamin D. Topics in orbit equivalence Lecture notes in mathematics Ergodentheorie - Gruppenoperation - Äquivalenzrelation Descriptive set theory Equivalence relations (Set theory) Ergodic theory Topological transformation groups Gruppenoperation (DE-588)4158467-3 gnd Äquivalenzrelation (DE-588)4141500-0 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| subject_GND | (DE-588)4158467-3 (DE-588)4141500-0 (DE-588)4015246-7 |
| title | Topics in orbit equivalence |
| title_auth | Topics in orbit equivalence |
| title_exact_search | Topics in orbit equivalence |
| title_full | Topics in orbit equivalence Alexander S. Kechris ; Benjamin D. Miller |
| title_fullStr | Topics in orbit equivalence Alexander S. Kechris ; Benjamin D. Miller |
| title_full_unstemmed | Topics in orbit equivalence Alexander S. Kechris ; Benjamin D. Miller |
| title_short | Topics in orbit equivalence |
| title_sort | topics in orbit equivalence |
| topic | Ergodentheorie - Gruppenoperation - Äquivalenzrelation Descriptive set theory Equivalence relations (Set theory) Ergodic theory Topological transformation groups Gruppenoperation (DE-588)4158467-3 gnd Äquivalenzrelation (DE-588)4141500-0 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| topic_facet | Ergodentheorie - Gruppenoperation - Äquivalenzrelation Descriptive set theory Equivalence relations (Set theory) Ergodic theory Topological transformation groups Gruppenoperation Äquivalenzrelation Ergodentheorie |
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