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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Auteurs principaux : | , |
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Format : | Livre |
Langue : | anglais |
Titre complet : | A guide to the classification theorem for compact surfaces / Jean Gallier; Dianna Xu |
Publié : |
Heidelberg, New York, London :
Springer
, cop. 2013 |
Description matérielle : | 1 vol. (XII-178 p.) |
Collection : | Geometry and computing (Print) ; 9 |
Sujets : |
- 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 R ; the cross-cap and the Steiner roman surface
- Proof of proposition 5.1
- Topological preliminaries
- History of the classification theorem
- Every surface can be triangulated