Holdings: Algebraic topology :: THWS Bibkatalog

Algebraic topology:

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Bibliographic Details
Main Author:	Maunder, Charles R. F. 1937-2018 (Author)
Format:	Book
Language:	Undetermined
Published:	London Van Nostrand Reinhold Comp. 1972
Edition:	Repr.
Series:	The new university mathematics series.
Subjects:	Algebraische Topologie
Online Access:	Inhaltsverzeichnis
Physical Description:	IX,375 S.

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MARC


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Record in the Search Index

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adam_text	CONTENTS Introduction Chapter 1 Algebraic and Topological Preliminaries 1.1 Introduction 1 1.2 Set theory 1 1.3 Algebra 3 1.4 Analytic topology 15 Chapter 2 Homotopy and Simplicial Complexes 2.1 Introduction 23 2.2 The classification problem; homotopy 23 2.3 Simplicial complexes 31 2.4 Homotopy and homeomorphism of polyhedra 40 2.5 Subdivision and the Simplicial Approximation Theorem 45 Exercises 59 Notes on Chapter 2 61 Chapter 3 The Fundamental Group 3.1 Introduction 63 3.2 Definition and elementary properties of the fundamental group 63 3.3 Methods of calculation 71 3.4 Classification of triangulable 2-manifolds 87 Exercises 99 Notes on Chapter 3 103 Chapter 4 Homology Theory 4.1 Introduction 104 4.2 Homology groups 104 4.3 Methods of calculation: simplicial homology 113 4.4 Methods of calculation: exact sequences 124 vii viii CONTENTS 4.5 Homology groups with arbitrary coefficients, and the Lefschetz Fixed-Point Theorem 141 Exercises 151 Notes on Chapter 4 156 Chapter 5 Cohomology and Duality Theorems 5.1 Introduction 158 5.2 Definitions and calculation theorems 159 5.3 The Alexander-Poincare Duality Theorem 170 5.4 Manifolds with boundary and the Lefschetz Duality Theorem 184 Exercises 195 Notes on Chapter 5 198 Chapter 6 General Homotopy Theory 6.1 Introduction 200 6.2 Some geometric constructions 201 6.3 Homotopy classes of maps 222 6.4 Exact sequences 233 6.5 Fibre and cofibre maps 243 Exercises 250 Notes on Chapter 6 254 Chapter 7 Homotopy Groups and CW-Complexes 7.1 Introduction 257 7.2 Homotopy groups 258 7.3 CW-complexes 273 7.4 Homotopy groups of CW-complexes 287 7.5 The theorem of J. H. C. Whitehead and the Cellular Approximation Theorem 298 Exercises 304 Notes on Chapter 7 309 Chapter 8 Homology and Cohomology of CW-Complexes 8.1 Introduction 311 8.2 The Excision Theorem and cellular homology 311 8.3 The Hurewicz theorem 322 CONTENTS IX 8.4 Cohomology and Eilenberg-MacLane spaces 330 8.5 Products 339 Exercises 352 Notes on Chapter 8 359 References 361 Index 369
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indexdate	2024-07-09T15:51:14Z
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owner	DE-384 DE-703
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physical	IX,375 S.
publishDate	1972
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publisher	Van Nostrand Reinhold Comp.
record_format	marc
series2	The new university mathematics series.
spelling	Maunder, Charles R. F. 1937-2018 Verfasser (DE-588)129582484 aut Algebraic topology C. R. F. Maunder* Repr. London Van Nostrand Reinhold Comp. 1972 IX,375 S. txt rdacontent n rdamedia nc rdacarrier The new university mathematics series. Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001845217&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Maunder, Charles R. F. 1937-2018 Algebraic topology Algebraische Topologie (DE-588)4120861-4 gnd
subject_GND	(DE-588)4120861-4
title	Algebraic topology
title_auth	Algebraic topology
title_exact_search	Algebraic topology
title_full	Algebraic topology C. R. F. Maunder*
title_fullStr	Algebraic topology C. R. F. Maunder*
title_full_unstemmed	Algebraic topology C. R. F. Maunder*
title_short	Algebraic topology
title_sort	algebraic topology
topic	Algebraische Topologie (DE-588)4120861-4 gnd
topic_facet	Algebraische Topologie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001845217&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT maundercharlesrf algebraictopology

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