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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Opis bibliograficzny
Główni autorzy: Gallier, Jean H., 1949-, Xu, Dianna, 19..- (Autor)
Format: Livre numérique
Język:Anglais
Wydane: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Wydanie:1st ed. 2013.
Seria:Geometry and Computing 9
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Dostęp online:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Komentarz: 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
Spis treści:
  • 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