Topology now!:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Washington, DC
The Mathematical Association of America
2006
|
Schriftenreihe: | Classroom resource materials
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XI, 240 S. graph. Darst. |
ISBN: | 0883857448 |
Internformat
MARC
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Datensatz im Suchindex
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adam_text | IMAGE 1
TOPOLOGY NOW!
BY
ROBERT MESSER ALBION COLLEGE
AND
PHILIP STRAFFIN BELOIT COLLEGE
PUBLISHED AND DISTRIBUTED BY THE MATHEMATICAL ASSOCIATION OF AMERICA
IMAGE 2
CONTENTS
PREFACE 1 DEFORMATIONS 1.1 EQUIVALENCE 1.2 BIJECTIONS
1.3 CONTINUOUS FUNCTIONS 1.4 TOPOLOGICAL EQUIVALENCE 1.5 TOPOLOGICAL
INVARIANTS 1.6 ISOTOPY REFERENCES AND SUGGESTED READINGS FOR CHAPTER 1
2 KNOTS AND LINKS 2.1 KNOTS, LINKS, AND EQUIVALENCES 2.2 KNOT DIAGRAMS
2.3 REIDEMEISTER MOVES 2.4 COLORINGS
2.5 THE ALEXANDER POLYNOMIAL 2.6 SKEIN RELATIONS 2.7 THE JONES
POLYNOMIAL REFERENCES AND SUGGESTED READINGS FOR CHAPTER 2
3 SURFACES 3.1 DEFINITIONS AND EXAMPLES 3.2 CUT-AND-PASTE TECHNIQUES
IX
1 1 6
14 20 25 32 40
41 41 47 55 61 65 78
82 88
91 91 97
VII
IMAGE 3
VIII CONTENTS
3.3 THE EULER CHARACTERISTIC AND ORIENTABILITY 103
3.4 CLASSIFICATION OF SURFACES 109
3.5 SURFACES BOUNDED BY KNOTS 120
REFERENCES AND SUGGESTED READINGS FOR CHAPTER 3 125
4 THREE-DIMENSIONAL MANIFOLDS 127
4.1 DEFINITIONS AND EXAMPLES 127
4.2 EULER CHARACTERISTIC 131
4.3 GLUING POLYHEDRAL SOLIDS 135
4.4 HEEGAARD SPLITTINGS 143
REFERENCES AND SUGGESTED READINGS FOR CHAPTER 4 150
5 FIXED POINTS 151
5.1 CONTINUOUS FUNCTIONS ON CLOSED BOUNDED INTERVALS 151
5.2 CONTRACTION MAPPING THEOREM 156
5.3 SPERNER S LEMMA 160
5.4 BROUWER FIXED-POINT THEOREM FOR A DISK 163
REFERENCES AND SUGGESTED READINGS FOR CHAPTER 5 167
6 THE FUNDAMENTAL GROUP 169
6.1 DEFORMATIONS WITH SINGULARITIES 169
6.2 ALGEBRAIC PROPERTIES 174
6.3 INVARIANCE OF THE FUNDAMENTAL GROUP 179
6.4 THE SPHERE AND THE CIRCLE 184
6.5 WORDS AND RELATIONS 192
6.6 THE POINCARE CONJECTURE 201
REFERENCES AND SUGGESTED READINGS FOR CHAPTER 6 208
209
209 217 222 226 229
REFERENCES AND SUGGESTED READINGS FOR CHAPTER 7 231
INDEX 233
7 METRIC AND TOPOLOGICAL SPACES 7.1 7.2
7.3 7.4
7.5
METRIC SPACES TOPOLOGICAL SPACES
CONNECTEDNESS
COMPACTNESS QUOTIENT SPACES
|
any_adam_object | 1 |
author | Messer, Robert Straffin, Philip D. |
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author_variant | r m rm p d s pd pds |
building | Verbundindex |
bvnumber | BV026552690 |
ctrlnum | (OCoLC)255680981 (DE-599)BVBBV026552690 |
dewey-full | 514 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 514 - Topology |
dewey-raw | 514 |
dewey-search | 514 |
dewey-sort | 3514 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV026552690 |
illustrated | Illustrated |
indexdate | 2024-07-09T23:14:45Z |
institution | BVB |
isbn | 0883857448 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-022115331 |
oclc_num | 255680981 |
open_access_boolean | |
owner | DE-188 |
owner_facet | DE-188 |
physical | XI, 240 S. graph. Darst. |
publishDate | 2006 |
publishDateSearch | 2006 |
publishDateSort | 2006 |
publisher | The Mathematical Association of America |
record_format | marc |
series2 | Classroom resource materials |
spelling | Messer, Robert Verfasser aut Topology now! by Robert Messer ; Philip Straffin Washington, DC The Mathematical Association of America 2006 XI, 240 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Classroom resource materials Topologie (DE-588)4060425-1 gnd rswk-swf Topologie (DE-588)4060425-1 s 1\p DE-604 Straffin, Philip D. Verfasser (DE-588)171385918 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022115331&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Messer, Robert Straffin, Philip D. Topology now! Topologie (DE-588)4060425-1 gnd |
subject_GND | (DE-588)4060425-1 |
title | Topology now! |
title_auth | Topology now! |
title_exact_search | Topology now! |
title_full | Topology now! by Robert Messer ; Philip Straffin |
title_fullStr | Topology now! by Robert Messer ; Philip Straffin |
title_full_unstemmed | Topology now! by Robert Messer ; Philip Straffin |
title_short | Topology now! |
title_sort | topology now |
topic | Topologie (DE-588)4060425-1 gnd |
topic_facet | Topologie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022115331&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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