A homology theory for Smale spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2014
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| Schriftenreihe: | Memoirs of the American Mathematical Society
1094 = Vol. 232,6 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 232, number 1094 (sixth of 6 numbers), November 2014." Literaturverz. S. 121 - 122 |
| Beschreibung: | VIII, 122 S. |
| ISBN: | 9781470409098 |
Internformat
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Datensatz im Suchindex
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| adam_text | Titel: A homology theory for Smale spaces
Autor: Putnam, Ian Fraser
Jahr: 2014
Contents Preface vii Chapter 1. Summary 1 Chapter 2. Dynamics 11 2.1. Smale spaces 11 2.2. Shifts of finite type 15 2.3. Maps 18 2.4. Self-products of a map 19 2.5. s/u-resolving and s/u-bijective maps 21 2.6. s/u-bijective pairs 28 2.7. Technical results 32 Chapter 3. Dimension groups 37 3.1. Free abelian groups 37 3.2. The dimension group of a graph 38 3.3. The dimension group of a shift of finite type 40 3.4. The dimension group as a covariant functor 41 3.5. The dimension group as a contravariant functor 47 Chapter 4. The complexes of an s/u-bijective factor map 55 4.1. Definitions of the complexes 56 4.2. Symbolic presentations 60 4.3. Equivalence of the complexes 69 4.4. Functorial properties 78 4.5. Independence of resolution 79 Chapter 5. The double complexes of an s/u-bijective pair 85 5.1. Definitions of the complexes 85 5.2. Symbolic presentations 91 5.3. Equivalence of the complexes 97 5.4. Functorial properties 99 5.5. Independence of s/u-bijective pair 100 Chapter 6. A Lefschetz formula 105 6.1. The statement 105 6.2. The periodic point side 106 6.3. The homological side 111 Chapter 7. Examples 113 7.1. Shifts of finite type 113 ni
IV CONTENTS 7.2. Totally disconnected stable sets 113 7.3. Solenoids 114 7.4. A hyperbolic toral automorphism 115 Chapter 8. Questions 117 8.1. Order on homology groups 117 8.2. Machinery 118 8.3. Relation with Cech (co)homology 119 8.4. C*-algebras 119 Bibliography 121
|
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| indexdate | 2024-07-10T01:14:20Z |
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| isbn | 9781470409098 |
| language | English |
| lccn | 2014024652 |
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| physical | VIII, 122 S. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | American Math. Soc. |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Putnam, Ian Fraser 1958- Verfasser (DE-588)1060351560 aut A homology theory for Smale spaces Ian F. Putnam Providence, RI American Math. Soc. 2014 VIII, 122 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 1094 = Vol. 232,6 "Volume 232, number 1094 (sixth of 6 numbers), November 2014." Literaturverz. S. 121 - 122 Homologietheorie (DE-588)4141714-8 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Homologietheorie (DE-588)4141714-8 s Chaotisches System (DE-588)4316104-2 s DE-604 Memoirs of the American Mathematical Society 1094 = Vol. 232,6 (DE-604)BV008000141 1094 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027605227&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Putnam, Ian Fraser 1958- A homology theory for Smale spaces Memoirs of the American Mathematical Society Homologietheorie (DE-588)4141714-8 gnd Chaotisches System (DE-588)4316104-2 gnd |
| subject_GND | (DE-588)4141714-8 (DE-588)4316104-2 |
| title | A homology theory for Smale spaces |
| title_auth | A homology theory for Smale spaces |
| title_exact_search | A homology theory for Smale spaces |
| title_full | A homology theory for Smale spaces Ian F. Putnam |
| title_fullStr | A homology theory for Smale spaces Ian F. Putnam |
| title_full_unstemmed | A homology theory for Smale spaces Ian F. Putnam |
| title_short | A homology theory for Smale spaces |
| title_sort | a homology theory for smale spaces |
| topic | Homologietheorie (DE-588)4141714-8 gnd Chaotisches System (DE-588)4316104-2 gnd |
| topic_facet | Homologietheorie Chaotisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027605227&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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