The Resource Introduction to Topological Manifolds, by John Lee, (electronic resource)

Introduction to Topological Manifolds, by John Lee, (electronic resource)

Label
Introduction to Topological Manifolds
Title
Introduction to Topological Manifolds
Statement of responsibility
by John Lee
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition. Although this second edition has the same basic structure as the first edition, it has been extensively revised and clarified; not a single page has been left untouched. The major changes include a new introduction to CW complexes (replacing most of the material on simplicial complexes in Chapter 5); expanded treatments of manifolds with boundary, local compactness, group actions, and proper maps; and a new section on paracompactness. This text is designed to be used for an introductory graduate course on the geometry and topology of manifolds. It should be accessible to any student who has completed a solid undergraduate degree in mathematics. The author’s book Introduction to Smooth Manifolds is meant to act as a sequel to this book
Member of
Is Subseries of
http://library.link/vocab/creatorName
Lee, John
Dewey number
514.34
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
rXPgzCea-0Q
Language note
English
LC call number
  • QA613-613.8
  • QA613.6-613.66
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Graduate Texts in Mathematics,
Series volume
202
http://library.link/vocab/subjectName
  • Cell aggregation
  • Algebraic topology
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Algebraic Topology
Label
Introduction to Topological Manifolds, by John Lee, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preface -- 1 Introduction -- 2 Topological Spaces -- 3 New Spaces from Old -- 4 Connectedness and Compactness -- 5 Cell Complexes -- 6 Compact Surfaces -- 7 Homotopy and the Fundamental Group -- 8 The Circle -- 9 Some Group Theory -- 10 The Seifert-Van Kampen Theorem -- 11 Covering Maps -- 12 Group Actions and Covering Maps -- 13 Homology -- Appendix A: Review of Set Theory -- Appendix B: Review of Metric Spaces -- Appendix C: Review of Group Theory -- References -- Notation Index -- Subject Index
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (444 p.)
Form of item
online
Isbn
9781441979407
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4419-7940-7
Specific material designation
remote
System control number
  • (CKB)2670000000064982
  • (EBL)992976
  • (SSID)ssj0000476335
  • (PQKBManifestationID)11337569
  • (PQKBTitleCode)TC0000476335
  • (PQKBWorkID)10479696
  • (PQKB)10326343
  • (DE-He213)978-1-4419-7940-7
  • (MiAaPQ)EBC992976
  • (EXLCZ)992670000000064982
Label
Introduction to Topological Manifolds, by John Lee, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preface -- 1 Introduction -- 2 Topological Spaces -- 3 New Spaces from Old -- 4 Connectedness and Compactness -- 5 Cell Complexes -- 6 Compact Surfaces -- 7 Homotopy and the Fundamental Group -- 8 The Circle -- 9 Some Group Theory -- 10 The Seifert-Van Kampen Theorem -- 11 Covering Maps -- 12 Group Actions and Covering Maps -- 13 Homology -- Appendix A: Review of Set Theory -- Appendix B: Review of Metric Spaces -- Appendix C: Review of Group Theory -- References -- Notation Index -- Subject Index
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (444 p.)
Form of item
online
Isbn
9781441979407
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4419-7940-7
Specific material designation
remote
System control number
  • (CKB)2670000000064982
  • (EBL)992976
  • (SSID)ssj0000476335
  • (PQKBManifestationID)11337569
  • (PQKBTitleCode)TC0000476335
  • (PQKBWorkID)10479696
  • (PQKB)10326343
  • (DE-He213)978-1-4419-7940-7
  • (MiAaPQ)EBC992976
  • (EXLCZ)992670000000064982

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