Combinatorics of train tracks:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton Univ. Press
1992
|
| Schriftenreihe: | Annals of mathematics studies
125 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 216 S. graph. Darst. |
| ISBN: | 0691087644 9780691025315 0691025312 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804118943226396672 |
|---|---|
| adam_text | CONTENTS
Preface ix
Acknowledgements xi
Chapter 1 The Basic Theory 3
§1.1 Train Tracks 4
§1.2 Multiple Curves and Dehn s Theorem 10
§1.3 Recurrence and Transverse Recurrence 18
§1.4 Genericity and Transverse Recurrence 39
§1.5 Trainpaths and Transverse Recurrence 60
§1.6 Laminations 68
§1.7 Measured Laminations 82
§1.8 Bounded Surfaces and Tracks with Stops 102
Chapter 2 Combinatorial Equivalence 115
§2.1 Splitting, Shifting, and Carrying 116
§2.2 Equivalence of Birecurrent Train Tracks 124
§2.3 Splitting versus Shifting 127
§2.4 Equivalence versus Carrying 133
§2.5 Splitting and Efficiency 139
§2.6 The Standard Models 145
§2.7 Existence of the Standard Models 154
§2.8 Uniqueness of the Standard Models 160
Chapter 3 The Structure of MC0 173
§3.1 The Topology of MC0 and V£o 174
§3.2 The Symplectic Structure of MC0 182
§3.3 Topological Equivalence 188
§3.4 Duality and Tangential Coordinates 191
Epilogue 204
Addendum The Action of Mapping Classes on MCo 210
Bibliography 214
vii
|
| any_adam_object | 1 |
| author | Penner, Robert C. 1956- Harer, John L. 1952- |
| author_GND | (DE-588)172304474 (DE-588)14157528X |
| author_facet | Penner, Robert C. 1956- Harer, John L. 1952- |
| author_role | aut aut |
| author_sort | Penner, Robert C. 1956- |
| author_variant | r c p rc rcp j l h jl jlh |
| building | Verbundindex |
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| dewey-full | 511/.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.6 |
| dewey-search | 511/.6 |
| dewey-sort | 3511 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:18:19Z |
| institution | BVB |
| isbn | 0691087644 9780691025315 0691025312 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002973400 |
| oclc_num | 24372997 |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-20 DE-355 DE-BY-UBR DE-29T DE-19 DE-BY-UBM DE-11 DE-188 DE-83 |
| physical | XI, 216 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| series | Annals of mathematics studies |
| series2 | Annals of mathematics studies |
| spelling | Penner, Robert C. 1956- Verfasser (DE-588)172304474 aut Combinatorics of train tracks by R. C. Penner with J. L. Harer Princeton, NJ Princeton Univ. Press 1992 XI, 216 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Annals of mathematics studies 125 Analyse combinatoire ram CW - Complexes ram Géodésiques (Mathématiques) ram CW complexes Combinatorial analysis Geodesics (Mathematics) Geodäsie (DE-588)4020202-1 gnd rswk-swf Kombinatorische Analysis (DE-588)4164746-4 gnd rswk-swf Fläche (DE-588)4129864-0 gnd rswk-swf Kombinatorik (DE-588)4031824-2 gnd rswk-swf CW-Komplex (DE-588)4148419-8 gnd rswk-swf Geodäsie (DE-588)4020202-1 s CW-Komplex (DE-588)4148419-8 s Kombinatorik (DE-588)4031824-2 s DE-604 Kombinatorische Analysis (DE-588)4164746-4 s Fläche (DE-588)4129864-0 s DE-188 Harer, John L. 1952- Verfasser (DE-588)14157528X aut Annals of mathematics studies 125 (DE-604)BV000000991 125 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002973400&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Penner, Robert C. 1956- Harer, John L. 1952- Combinatorics of train tracks Annals of mathematics studies Analyse combinatoire ram CW - Complexes ram Géodésiques (Mathématiques) ram CW complexes Combinatorial analysis Geodesics (Mathematics) Geodäsie (DE-588)4020202-1 gnd Kombinatorische Analysis (DE-588)4164746-4 gnd Fläche (DE-588)4129864-0 gnd Kombinatorik (DE-588)4031824-2 gnd CW-Komplex (DE-588)4148419-8 gnd |
| subject_GND | (DE-588)4020202-1 (DE-588)4164746-4 (DE-588)4129864-0 (DE-588)4031824-2 (DE-588)4148419-8 |
| title | Combinatorics of train tracks |
| title_auth | Combinatorics of train tracks |
| title_exact_search | Combinatorics of train tracks |
| title_full | Combinatorics of train tracks by R. C. Penner with J. L. Harer |
| title_fullStr | Combinatorics of train tracks by R. C. Penner with J. L. Harer |
| title_full_unstemmed | Combinatorics of train tracks by R. C. Penner with J. L. Harer |
| title_short | Combinatorics of train tracks |
| title_sort | combinatorics of train tracks |
| topic | Analyse combinatoire ram CW - Complexes ram Géodésiques (Mathématiques) ram CW complexes Combinatorial analysis Geodesics (Mathematics) Geodäsie (DE-588)4020202-1 gnd Kombinatorische Analysis (DE-588)4164746-4 gnd Fläche (DE-588)4129864-0 gnd Kombinatorik (DE-588)4031824-2 gnd CW-Komplex (DE-588)4148419-8 gnd |
| topic_facet | Analyse combinatoire CW - Complexes Géodésiques (Mathématiques) CW complexes Combinatorial analysis Geodesics (Mathematics) Geodäsie Kombinatorische Analysis Fläche Kombinatorik CW-Komplex |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002973400&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000991 |
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