Introduction to Homotopy Theory
This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows: • Basic homotopy; • H-spaces and co-H-spaces; • Fibrations and cofibrations; • Exact sequences of homotopy sets, actions, and coactions; • Homotopy pu...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2011.
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Edición: | 1st ed. 2011. |
Colección: | Universitext,
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Temas: | |
Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 1 Basic Homotopy
- 2 H-Spaces and Co-H-Spaces
- 3 Cofibrations and Fibrations
- 4 Exact Sequences
- 5 Applications of Exactness
- 6 Homotopy Pushouts and Pullbacks
- 7 Homotopy and Homology Decompositions
- 8 Homotopy Sets
- 9 Obstruction Theory
- A Point-Set Topology
- B The Fundamental Group
- C Homology and Cohomology
- D Homotopy Groups and the n-Sphere
- E Homotopy Pushouts and Pullbacks
- F Categories and Functors
- Hints to Some of the Exercises
- References
- Index.-.