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Introduction to Homotopy Theory
About this Title
Paul Selick, University of Toronto, Toronto, ON, Canada
Publication: Fields Institute Monographs
Publication Year:
1997; Volume 9
ISBNs: 978-0-8218-4436-6 (print); 978-1-4704-3136-5 (online)
DOI: https://doi.org/10.1090/fim/009
MathSciNet review: MR1450595
MSC: Primary 55-01; Secondary 18-01, 54-01, 57-01
Table of Contents
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Front/Back Matter
Part I. Prerequisites
- Chapter 1. Prerequisites from category theory
- Chapter 2. Prerequisites from point set topology
- Chapter 3. The fundamental group
- Chapter 4. Homological algebra
- Chapter 5. Homology of spaces
- Chapter 6. Manifolds
Part II. Homotopy Theory
- Chapter 7. Higher homotopy theory
- Chapter 8. Simplicial sets
- Chapter 9. Fibre bundles and classifying spaces
- Chapter 10. Hopf algebras and graded Lie algebras
- Chapter 11. Spectral sequences
- Chapter 12. Localization and completion
- Chapter 13. Generalized homology and stable homotopy
- Chapter 14. Cohomology operations and the Steenrod algebra