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Topology now!:

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Bibliographic Details
Main Authors:	Messer, Robert (Author), Straffin, Philip D. (Author)
Format:	Book
Language:	English
Published:	Washington, DC The Mathematical Association of America 2006
Series:	Classroom resource materials
Subjects:	Topologie
Online Access:	Inhaltsverzeichnis
Physical Description:	XI, 240 S. graph. Darst.
ISBN:	0883857448

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MARC


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Record in the Search Index

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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
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dewey-search	514
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dewey-tens	510 - Mathematics
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physical	XI, 240 S. graph. Darst.
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publisher	The Mathematical Association of America
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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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