Knots and surfaces:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Oxford Univ. Press
1995
|
| Ausgabe: | 1. publ. in paperback |
| Schriftenreihe: | Oxford science publications
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 268 S. zahlr. graph. Darst. |
| ISBN: | 0198514905 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | KNOTS AND SURFACES N. D. GILBERT DEPARTMENT OF MATHEMATICS HERIOT-WATT
UNIVERSITY, EDINBURGH T. PORTER SCHOOL OF MATHEMATICS, UNIVERSITY
COLLEGE OF NORTH WALES, BANGOR OXFORD NEW YORK TOKYO OXFORD UNIVERSITY
PRESS CONTENTS 1. KNOTS, LINKS, AND DIAGRAMS 1.1 KNOT AND LINK DIAGRAMS
1.2 ISOTOPY AND THE REIDEMEISTER MOVES 1.3 3-COLOURING 1.4 NUMERICAL
INVARIANTS 1.5 CHIRAL AND INVERTIBLE KNOTS 2. KNOT AND LINK POLYNOMIALS
2.1 STATE MODEIS AND THE JONES POLYNOMIAL 2.2 THE JONES POLYNOMIAL 2.3
APPLICATIONS OF THE KAUFFMAN POLYNOMIAL 2.4 THE ORIENTED OR HOMFLY
POLYNOMIAL 2.5 THE ALEXANDER POLYNOMIAL 3. TOPOLOGICAL SPACES 3.1
TOPOLOGICAL SPACES 3.2 CONTINUITY 3.3 CONNECTEDNESS 3.4 IDENTIFICATION
SPACES 3.5 KNOTS AND ISOTOPY 4. SURFACES 4.1 COMBINATORIAL SURFACES 4.2
CUTTING AND PASTING 4.3 INVARIANTS OF SURFACES: ORIENTABILITY AND
BOUNDARY CURVES 4.4 INVARIANTS OF SURFACES: EULER CHARACTERISTIC AND
GENUS 4.5 KNOTS AND SURFACES 1 1 5 8 11 15 19 19 28 30 34 38 42 42 45 48
49 51 55 57 68 80 84 90 5. THE ARITHMETIC OF KNOTS 96 5.1 THE SUM OF
ORIENTED KNOTS 96 5.2 GENUS OF K + L 100 X CONTENTS 5.3 BRIDGE NUMBER OF
K + L 5.4 FACTORIZATIONS, PRIME KNOTS, AND THE FACTORIZATION THEOREM 5.5
N-COLOURABIHTY 5.6 POLYNOMIALS AND THE SUM OF KNOTS 6. PRESENTATIONS OF
GROUPS 6.1 EXAMPLES OF PRESENTATIONS 6.2 DIHEDRAL GROUPS 6.3 CAYLEY
QUIVERS 6.4 FREE GROUPS 6.5 PRESENTATIONS 6.6 TIETZE TRANSFORMATIONS 6.7
QUOTIENT GROUPS 6.8 ABELIANIZATION 6.9 FINITELY GENERATED ABELIAN GROUPS
6.10 PUSHOUTS OF GROUPS 6.11 KNOT GROUPS 7. GRAPHS AND TREES 7.1 GRAPHS,
QUIVERS, AND TREES 7.2 EXAMPLES OF GRAPHS 7.3 PLANAR GRAPHS 7.4
EMBEDDING GRAPHS IN SURFACES 8. ALEXANDER MATRICES AND ALEXANDER
POLYNOMIALS 8.1 GROUP RINGS 8.2 DERIVATIVES 8.3 THE ALEXANDER MATRIX 8.4
ELEMENTARY IDEALS 8.5 ALEXANDER POLYNOMIALS VIA THE WIRTINGER
PRESENTATION 9. THE FUNDAMENTAL GROUP 9.1 PATHS 9.2 HOMOTOPY 9.3
CALCULATIONS OF THE FUNDAMENTAL GROUP 9.4 HOMOTOPY EQUIVALENCE 10. VAN
KAMPEN S THEOREM 212 CONTENTS XI 11. APPLICATIONS OF THE VAN KAMPEN
THEOREM 224 11.1 CALCULATIONS OF FUNDAMENTAL GROUPS 224 11.2 SURFACE
GROUPS 233 11.3 SPACES WITH FINITE CYCLIC FUNDAMENTAL GROUP 236 11.4
SPACES WITH GIVEN FUNDAMENTAL GROUP 237 11.5 THE GROUP OF A KNOT 239
11.6 TORUS KNOTS 243 11.7 ANALYSIS OF THE KNOT GROUP G M * 246 12.
COVERING SPACES 250 12.1 COVERING MAPS AND COVERING SPACES 250 12.2 DECK
TRANSFORMATIONS AND UNIVERSAL COVERS 258 12.3 COVERING GRAPHS 259
BIBLIOGRAPHY 264 INDEX 266
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. in paperback |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:58:47Z |
| institution | BVB |
| isbn | 0198514905 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007200922 |
| oclc_num | 39475876 |
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| owner_facet | DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-824 |
| physical | XI, 268 S. zahlr. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| series2 | Oxford science publications |
| spelling | Gilbert, N. D. Verfasser aut Knots and surfaces N. D. Gilbert ; T. Porter 1. publ. in paperback Oxford [u.a.] Oxford Univ. Press 1995 XI, 268 S. zahlr. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford science publications Knot theory Surfaces Knotentheorie (DE-588)4164318-5 gnd rswk-swf Fläche (DE-588)4129864-0 gnd rswk-swf Knotentheorie (DE-588)4164318-5 s Fläche (DE-588)4129864-0 s DE-604 Porter, Timothy Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007200922&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gilbert, N. D. Porter, Timothy Knots and surfaces Knot theory Surfaces Knotentheorie (DE-588)4164318-5 gnd Fläche (DE-588)4129864-0 gnd |
| subject_GND | (DE-588)4164318-5 (DE-588)4129864-0 |
| title | Knots and surfaces |
| title_auth | Knots and surfaces |
| title_exact_search | Knots and surfaces |
| title_full | Knots and surfaces N. D. Gilbert ; T. Porter |
| title_fullStr | Knots and surfaces N. D. Gilbert ; T. Porter |
| title_full_unstemmed | Knots and surfaces N. D. Gilbert ; T. Porter |
| title_short | Knots and surfaces |
| title_sort | knots and surfaces |
| topic | Knot theory Surfaces Knotentheorie (DE-588)4164318-5 gnd Fläche (DE-588)4129864-0 gnd |
| topic_facet | Knot theory Surfaces Knotentheorie Fläche |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007200922&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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