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...
Spremljeno u:
| Glavni autor: | |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Izdanje: | 2nd edition. |
| Serija: | Graduate Texts in Mathematics
202 |
| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
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 |
| LEADER | 04124nam a22004457a 4500 | ||
|---|---|---|---|
| 001 | 968163 | ||
| 008 | 110208q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN14990360X | ||
| 020 | |a 9781441979407 | ||
| 020 | |a 9781441979407 | ||
| 041 | 0 | |a eng | |
| 082 | |a 514.34 | ||
| 084 | |a 51-01. 2010 | ||
| 084 | |a 55-01. 2010 | ||
| 084 | |a 57-01. 2010 | ||
| 100 | 1 | |a Lee, John M., |d 1950-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Introduction to topological manifolds |c John M. Lee. |
| 250 | |a 2nd edition. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Graduate Texts in Mathematics |v 202 |x 2197-5612 | |
| 500 | |a Description d'après consultation du 11 mai 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 405-406 Index p. 407-431 | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Cellules |x Agrégation |x Mathématiques | ||
| 650 | |a Topologie algébrique | ||
| 776 | 0 | |0 183224892 |t Introduction to topological manifolds |f John M. Lee |e 2nd edition |d 2011 |c New York, NY |n Springer |p 1 vol. (XVII-433 p.) |s Graduate texts in mathematics |z 978-1-441-97939-1 | |
| 776 | 0 | |t Introduction to Topological Manifolds |b Texte imprimé |z 9781441979414 | |
| 776 | 0 | |0 183224892 |t Introduction to topological manifolds |f John M. Lee |e 2nd edition |d 2011 |c New York, NY |n Springer |p 1 vol. (XVII-433 p.) |s Graduate texts in mathematics |z 978-1-441-97939-1 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-1-4419-7940-7 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-C3SVM7L9-J |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750623721 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-1-4419-7940-7 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753981254 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-1-4419-7940-7 |z Accès INSA CVL | |
| 997 | |0 968163 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||