Introduction to topological manifolds
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 develo...
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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edição: | 2nd edition. |
| Colecção: | Graduate Texts in Mathematics
202 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 11 mai 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Introduction to topological manifolds, John M. Lee, 2nd edition, 2011, New York, NY, Springer, 1 vol. (XVII-433 p.), Graduate texts in mathematics, 978-1-441-97939-1 • Introduction to Topological Manifolds, Texte imprimé, 9781441979414 • Introduction to topological manifolds, John M. Lee, 2nd edition, 2011, New York, NY, Springer, 1 vol. (XVII-433 p.), Graduate texts in mathematics, 978-1-441-97939-1 |
Sumário:
- 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