| Hardcover ISBN: | 978-2-85629-965-4 |
| Product Code: | COSP/29 |
| List Price: | $90.00 |
| AMS Member Price: | $72.00 |
| Hardcover ISBN: | 978-2-85629-965-4 |
| Product Code: | COSP/29 |
| List Price: | $90.00 |
| AMS Member Price: | $72.00 |
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Book DetailsCours SpécialisésVolume: 29; 2023; 334 ppMSC: Primary 55
This book is an expanded version of lecture notes produced by the author as he was lecturing on algebraic topology at the University of Strasbourg. After preliminaries on homotopy theory, the fundamental group, categories and functors, the focus turns to the homology of simplicial complexes first and then general topological spaces. The classical applications are given (Brouwer's theorem, the hairy ball theorem, the Euler characteristic of the platonic solids...) and Poincaré duality is introduced.
In the third part of the book, which is more advanced, homological algebra is studied in more detail before the theory of sheaves is developed. The lectures are concluded with the proof of the difficult de Rham theorem, relating homology to differential forms.
This course is appropriate for advanced undergraduates or beginning graduate students. The only prerequisite is a knowledge of metric spaces, as well as basic algebraic tools.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipUndergraduate and graduate students interested in algebraic topology.
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This book is an expanded version of lecture notes produced by the author as he was lecturing on algebraic topology at the University of Strasbourg. After preliminaries on homotopy theory, the fundamental group, categories and functors, the focus turns to the homology of simplicial complexes first and then general topological spaces. The classical applications are given (Brouwer's theorem, the hairy ball theorem, the Euler characteristic of the platonic solids...) and Poincaré duality is introduced.
In the third part of the book, which is more advanced, homological algebra is studied in more detail before the theory of sheaves is developed. The lectures are concluded with the proof of the difficult de Rham theorem, relating homology to differential forms.
This course is appropriate for advanced undergraduates or beginning graduate students. The only prerequisite is a knowledge of metric spaces, as well as basic algebraic tools.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Undergraduate and graduate students interested in algebraic topology.
