Combinatorics of train tracks:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton, NJ
Princeton Univ. Press
1992
|
| Series: | Annals of mathematics studies
125 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 216 S. graph. Darst. |
| ISBN: | 0691087644 9780691025315 0691025312 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV004831328 | ||
| 003 | DE-604 | ||
| 005 | 20181210 | ||
| 007 | t | ||
| 008 | 920518s1992 d||| |||| 00||| engod | ||
| 020 | |a 0691087644 |9 0-691-08764-4 | ||
| 020 | |a 9780691025315 |9 978-0-691-02531-5 | ||
| 020 | |a 0691025312 |9 0-691-02531-2 | ||
| 035 | |a (OCoLC)24372997 | ||
| 035 | |a (DE-599)BVBBV004831328 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91G |a DE-384 |a DE-703 |a DE-20 |a DE-355 |a DE-29T |a DE-19 |a DE-11 |a DE-188 |a DE-83 | ||
| 050 | 0 | |a QA649 | |
| 082 | 0 | |a 511/.6 |2 20 | |
| 084 | |a SI 830 |0 (DE-625)143195: |2 rvk | ||
| 084 | |a 57Q99 |2 msc | ||
| 084 | |a MAT 542f |2 stub | ||
| 100 | 1 | |a Penner, Robert C. |d 1956- |e Verfasser |0 (DE-588)172304474 |4 aut | |
| 245 | 1 | 0 | |a Combinatorics of train tracks |c by R. C. Penner with J. L. Harer |
| 264 | 1 | |a Princeton, NJ |b Princeton Univ. Press |c 1992 | |
| 300 | |a XI, 216 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Annals of mathematics studies |v 125 | |
| 650 | 7 | |a Analyse combinatoire |2 ram | |
| 650 | 7 | |a CW - Complexes |2 ram | |
| 650 | 7 | |a Géodésiques (Mathématiques) |2 ram | |
| 650 | 4 | |a CW complexes | |
| 650 | 4 | |a Combinatorial analysis | |
| 650 | 4 | |a Geodesics (Mathematics) | |
| 650 | 0 | 7 | |a Geodäsie |0 (DE-588)4020202-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kombinatorische Analysis |0 (DE-588)4164746-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fläche |0 (DE-588)4129864-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kombinatorik |0 (DE-588)4031824-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a CW-Komplex |0 (DE-588)4148419-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Geodäsie |0 (DE-588)4020202-1 |D s |
| 689 | 0 | 1 | |a CW-Komplex |0 (DE-588)4148419-8 |D s |
| 689 | 0 | 2 | |a Kombinatorik |0 (DE-588)4031824-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a CW-Komplex |0 (DE-588)4148419-8 |D s |
| 689 | 1 | 1 | |a Kombinatorische Analysis |0 (DE-588)4164746-4 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Kombinatorik |0 (DE-588)4031824-2 |D s |
| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Fläche |0 (DE-588)4129864-0 |D s |
| 689 | 3 | 1 | |a CW-Komplex |0 (DE-588)4148419-8 |D s |
| 689 | 3 | 2 | |a Kombinatorische Analysis |0 (DE-588)4164746-4 |D s |
| 689 | 3 | |5 DE-188 | |
| 700 | 1 | |a Harer, John L. |d 1952- |e Verfasser |0 (DE-588)14157528X |4 aut | |
| 830 | 0 | |a Annals of mathematics studies |v 125 |w (DE-604)BV000000991 |9 125 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002973400 | ||
Record in the Search Index
| _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 |
| bvnumber | BV004831328 |
| callnumber-first | Q - Science |
| callnumber-label | QA649 |
| callnumber-raw | QA649 |
| callnumber-search | QA649 |
| callnumber-sort | QA 3649 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 830 |
| classification_tum | MAT 542f |
| ctrlnum | (OCoLC)24372997 (DE-599)BVBBV004831328 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02638nam a2200673 cb4500</leader><controlfield tag="001">BV004831328</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20181210 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">920518s1992 d||| |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0691087644</subfield><subfield code="9">0-691-08764-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780691025315</subfield><subfield code="9">978-0-691-02531-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0691025312</subfield><subfield code="9">0-691-02531-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)24372997</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004831328</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA649</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511/.6</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 830</subfield><subfield code="0">(DE-625)143195:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">57Q99</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 542f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Penner, Robert C.</subfield><subfield code="d">1956-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172304474</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Combinatorics of train tracks</subfield><subfield code="c">by R. C. Penner with J. L. Harer</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ</subfield><subfield code="b">Princeton Univ. Press</subfield><subfield code="c">1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 216 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Annals of mathematics studies</subfield><subfield code="v">125</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Analyse combinatoire</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">CW - Complexes</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Géodésiques (Mathématiques)</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">CW complexes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Combinatorial analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geodesics (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Geodäsie</subfield><subfield code="0">(DE-588)4020202-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kombinatorische Analysis</subfield><subfield code="0">(DE-588)4164746-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fläche</subfield><subfield code="0">(DE-588)4129864-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kombinatorik</subfield><subfield code="0">(DE-588)4031824-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">CW-Komplex</subfield><subfield code="0">(DE-588)4148419-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Geodäsie</subfield><subfield code="0">(DE-588)4020202-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">CW-Komplex</subfield><subfield code="0">(DE-588)4148419-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Kombinatorik</subfield><subfield code="0">(DE-588)4031824-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">CW-Komplex</subfield><subfield code="0">(DE-588)4148419-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Kombinatorische Analysis</subfield><subfield code="0">(DE-588)4164746-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Kombinatorik</subfield><subfield code="0">(DE-588)4031824-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Fläche</subfield><subfield code="0">(DE-588)4129864-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2="1"><subfield code="a">CW-Komplex</subfield><subfield code="0">(DE-588)4148419-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2="2"><subfield code="a">Kombinatorische Analysis</subfield><subfield code="0">(DE-588)4164746-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="5">DE-188</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Harer, John L.</subfield><subfield code="d">1952-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)14157528X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Annals of mathematics studies</subfield><subfield code="v">125</subfield><subfield code="w">(DE-604)BV000000991</subfield><subfield code="9">125</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002973400</subfield></datafield></record></collection> |
| id | DE-604.BV004831328 |
| 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 |
| open_access_boolean | |
| owner | 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 |
| 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 |
| work_keys_str_mv | AT pennerrobertc combinatoricsoftraintracks AT harerjohnl combinatoricsoftraintracks |