- 367 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Homotopy Theory: An Introduction to Algebraic Topology
About this book
Homotopy Theory: An Introduction to Algebraic Topology
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Yes, you can access Homotopy Theory: An Introduction to Algebraic Topology by Brayton Gray in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Front Cover
- Homotopy Theory: An Introduction to Algebraic Topology
- Copyright Page
- Contents
- Preface
- List of Symbols
- Chapter 0. Preliminaries
- Chapter 1. Some Simple Topological Spaces
- Chapter 2. Some Simple Topological Problems
- Chapter 3. Homotopy Theory
- Chapter 4. Category Theory
- Chapter 5. The Fundamental Group
- Chapter 6. More on the Fundamental Group
- Chapter 7. Calculating the Fundamental Group
- Chapter 8. A Convenient Category of Topological Spaces
- Chapter 9. Track Groups and Homotopy Groups
- Chapter 10. Relative Homotopy Groups
- Chapter 11. Locally Trivial Bundles
- Chapter 12. Simplicial Complexes and Linearity
- Chapter 13. Calculating Homotopy Groups: The Blakers–Massey Theorem
- Chapter 14. The Topology of CW Complexes
- Chapter 15. Limits
- Chapter 16. The Homotopy Theory of CW Complexes
- Chapter 17. K(π, n)’s and Postnikov Systems
- Chapter 18. Spectral Reduced Homology and Cohomology Theories
- Chapter 19. Spectral Unreduced Homology and Cohomology Theories
- Chapter 20. Ordinary Homology of CW Complexes
- Chapter 21. Homology and Cohomology Groups of More General Spaces
- Chapter 22. The Relation between Homotopy and Ordinary Homology
- Chapter 23. Multiplicative Structure
- Chapter 24. Relations between Chain Complexes
- Chapter 25. Homological Algebra over a Principal Ideal Domain: Künneth and Universal Coefficient Theorems
- Chapter 26. Orientation and Duality
- Chapter 27. Cohomology Operations
- Chapter 28. Adem Relations
- Chapter 29. K-Theories
- Chapter 30. Cobordism
- References
- Index