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Introduction to Topology

About this Title

V. A. Vassiliev, Independent University of Moscow, Moscow, Russia. Translated by Professor A. B. Sossinski

Publication: The Student Mathematical Library
Publication Year 2001: Volume 14
ISBNs: 978-0-8218-2162-6 (print); 978-1-4704-2130-4 (online)
DOI: http://dx.doi.org/10.1090/stml/014
MathSciNet review: MR1816237
MSC: Primary 55-02; Secondary 57-02

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Table of Contents

Front/Back Matter

• View this volume's front and back matter

Chapters

• Chapter 1. Topological spaces and operations with them
• Chapter 2. Homotopy groups and homotopy equivalence
• Chapter 3. Coverings
• Chapter 4. Cell spaces ($CW$-complexes)
• Chapter 5. Relative homotopy groups and the exact sequence of a pair
• Chapter 6. Fiber bundles
• Chapter 7. Smooth manifolds
• Chapter 8. The degree of a map
• Chapter 9. Homology: Basic definitions and examples
• Chapter 10. Main properties of singular homology groups and their computation
• Chapter 11. Homology of cell spaces
• Chapter 12. Morse theory
• Chapter 13. Cohomology and Poincaré duality
• Chapter 14. Some applications of homology theory
• Chapter 15. Multiplication in cohomology (and homology)

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