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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Gallier, Jean (Autor), Xu, Dianna (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Geometry and Computing,
Temas:
Topology.
Manifolds (Mathematics).
Algebraic topology.
Manifolds and Cell Complexes.
Algebraic Topology.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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 .

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