A Guide to the Classification Theorem for Compact Surfaces

• Κύριοι συγγραφείς: Gallier, Jean (Συγγραφέας), Xu, Dianna (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Σειρά: Geometry and Computing, 9
• Θέματα: Mathematics.; Topology.; Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).; Algebraic Topology.

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...

Πίνακας περιεχομένων:

• 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 .