Topological invariants for projection method patterns:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2002
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
758 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 159, number 758 (end of volume)." |
| Beschreibung: | IX, 120 S. |
| ISBN: | 0821829653 |
Internformat
MARC
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| 245 | 1 | 0 | |a Topological invariants for projection method patterns |c Alan Forrest ; John Hutton ; Johannes Kellendonk |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2002 | |
| 300 | |a IX, 120 S. | ||
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| 650 | 7 | |a Numerieke wiskunde |2 gtt | |
| 650 | 7 | |a Topologie |2 gtt | |
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| 650 | 4 | |a Invariants | |
| 650 | 4 | |a K-theory | |
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Datensatz im Suchindex
| _version_ | 1804129311366578176 |
|---|---|
| adam_text | TABLE OF CONTENTS
General Introduction 1
I Topological Spaces and Dynamical Systems 10
1 Introduction 10
2 The projection method and associated geometric
constructions 11
3 Topological spaces for point patterns 16
4 Tilings and point patterns 20
5 Comparing IIU and IIU 24
6 Calculating MPU and MPu 26
7 Comparing MPU with MPU 30
8 Examples and counter examples 33
9 The topology of the continuous hull 37
10 A Cantor Zd dynamical system 40
II Groupoids, C* algebras, and their Invariants 46
1 Introduction 46
2 Equivalence of projection method pattern groupoids 47
3 Continuous similarity of projection method pattern
groupoids 54
4 Pattern cohomology and K iheory 58
5 Homological conditions for self similarity 61
III Approaches to Calculation I: Cohomology for
Codimension One 64
1 Introduction 64
2 Inverse limit acceptance domains 64
3 Cohomology in the case d = N — 1 66
IV Approaches to Calculation II: Infinitely Generated
Cohomology 69
1 Introduction 69
2 The canonical projection tiling 69
3 Constructing C topes 74
4 The indecomposable case 80
5 The decomposable case 86
6 Conditions for infinitely generated cohomology 89
V Approaches to Calculation III: Cohomology for
Small Codimension 94
1 Introduction 94
2 Set up and statement of the results 95
3 Complexes denned by the singular spaces 99
vii
viii CONTENTS
4 Group homology
5 The spectral sequences 103
6 Example: Ammann Kramer tilings 112
Bibliography 116
|
| any_adam_object | 1 |
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| dewey-full | 510 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 516 - Geometry |
| dewey-raw | 510 516 |
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| indexdate | 2024-07-09T19:03:07Z |
| institution | BVB |
| isbn | 0821829653 |
| language | English |
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| physical | IX, 120 S. |
| publishDate | 2002 |
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| series2 | Memoirs of the American Mathematical Society |
| spelling | Forrest, Alan 1964- Verfasser (DE-588)173564453 aut Topological invariants for projection method patterns Alan Forrest ; John Hutton ; Johannes Kellendonk Providence, RI American Mathematical Society 2002 IX, 120 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 758 "Volume 159, number 758 (end of volume)." Convexe ruimten gtt Numerieke wiskunde gtt Topologie gtt Aperiodic tilings Invariants K-theory Topological dynamics Topologische Invariante (DE-588)4310559-2 gnd rswk-swf Topologische Dynamik (DE-588)4253345-4 gnd rswk-swf K-Theorie (DE-588)4033335-8 gnd rswk-swf Topologische Dynamik (DE-588)4253345-4 s DE-604 K-Theorie (DE-588)4033335-8 s Topologische Invariante (DE-588)4310559-2 s Hutton, John Sonstige oth Kellendonk, Johannes 1961- Sonstige (DE-588)1146383215 oth Memoirs of the American Mathematical Society 758 (DE-604)BV008000141 758 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009883184&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Forrest, Alan 1964- Topological invariants for projection method patterns Memoirs of the American Mathematical Society Convexe ruimten gtt Numerieke wiskunde gtt Topologie gtt Aperiodic tilings Invariants K-theory Topological dynamics Topologische Invariante (DE-588)4310559-2 gnd Topologische Dynamik (DE-588)4253345-4 gnd K-Theorie (DE-588)4033335-8 gnd |
| subject_GND | (DE-588)4310559-2 (DE-588)4253345-4 (DE-588)4033335-8 |
| title | Topological invariants for projection method patterns |
| title_auth | Topological invariants for projection method patterns |
| title_exact_search | Topological invariants for projection method patterns |
| title_full | Topological invariants for projection method patterns Alan Forrest ; John Hutton ; Johannes Kellendonk |
| title_fullStr | Topological invariants for projection method patterns Alan Forrest ; John Hutton ; Johannes Kellendonk |
| title_full_unstemmed | Topological invariants for projection method patterns Alan Forrest ; John Hutton ; Johannes Kellendonk |
| title_short | Topological invariants for projection method patterns |
| title_sort | topological invariants for projection method patterns |
| topic | Convexe ruimten gtt Numerieke wiskunde gtt Topologie gtt Aperiodic tilings Invariants K-theory Topological dynamics Topologische Invariante (DE-588)4310559-2 gnd Topologische Dynamik (DE-588)4253345-4 gnd K-Theorie (DE-588)4033335-8 gnd |
| topic_facet | Convexe ruimten Numerieke wiskunde Topologie Aperiodic tilings Invariants K-theory Topological dynamics Topologische Invariante Topologische Dynamik K-Theorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009883184&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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