A Guide to the classification theorem for compact surfaces
This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a compr...
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| Главные авторы: | , |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Редактирование: | 1st ed. 2013. |
| Серии: | Geometry and Computing
9 |
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A guide to the classification theorem for compact surfaces, Jean Gallier, Dianna Xu, 2013, Heidelberg, Springer, 1 vol. (XII-178 p.), Geometry and computing, 978-3-642-34363-6 • A Guide to the Classification Theorem for Compact Surfaces, Texte imprimé, 9783642343650 • A Guide to the Classification Theorem for Compact Surfaces, Texte imprimé, 9783642437106 |
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| 100 | 1 | |a Gallier, Jean H., |d 1949- | |
| 245 | 1 | 0 | |a A Guide to the classification theorem for compact surfaces |c by Jean Gallier, Dianna Xu. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Geometry and Computing |v 9 |x 1866-6809 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. | ||
| 505 | 0 | |a The Classification Theorem: Informal Presentation -- Surfaces -- Simplices, Complexes, and Triangulations -- The Fundamental Group, Orientability -- Homology Groups -- The Classification Theorem for Compact Surfaces -- Viewing the Real Projective Plane in R3 -- Proof of Proposition 5.1 -- Topological Preliminaries -- History of the Classification Theorem -- Every Surface Can be Triangulated -- Notes | |
| 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 welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated, student-centred approach details a near-complete proof of this theorem, widely admired for its efficacy and formal beauty. The authors present the technical tools needed to deploy the method effectively as well as demonstrating their use in a clearly structured, worked example.Ideal for students whose mastery of algebraic topology may be a work-in-progress, the text introduces key notions such as fundamental groups, homology groups, and the Euler-Poincaré characteristic. These prerequisites are the subject of detailed appendices that enable focused, discrete learning where it is required, without interrupting the carefully planned structure of the core exposition. Gently guiding readers through the principles, theory, and applications of the classification theorem, the authors aim to foster genuine confidence in its use and in so doing encourage readers to move on to a deeper exploration of the versatile and valuable techniques available in algebraic topology | ||
| 650 | |a Algèbres topologiques | ||
| 700 | 1 | |a Xu, Dianna, |d 19..- |4 aut | |
| 776 | 0 | |0 174332246 |t A guide to the classification theorem for compact surfaces |f Jean Gallier, Dianna Xu |d 2013 |c Heidelberg |n Springer |p 1 vol. (XII-178 p.) |s Geometry and computing |z 978-3-642-34363-6 | |
| 776 | 0 | |t A Guide to the Classification Theorem for Compact Surfaces |b Texte imprimé |z 9783642343650 | |
| 776 | 0 | |t A Guide to the Classification Theorem for Compact Surfaces |b Texte imprimé |z 9783642437106 | |
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