Introduction to topology / V.A. Vassiliev ; translated by A. Sossinski.

Format:

Book

Author/Creator:

Vasilʹev, V. A., 1956- author.

Series:

Student mathematical library ; v. 14.

The Student Mathematical Library ; v. 14

Standardized Title:

Vvedenie v topologii͡u. English

Language:

English

Russian

Subjects (All):

Topology.

Physical Description:

1 online resource (xiii, 149 pages) : illustrations.

Other Title:

Student Mathematical Library.

Place of Publication:

Providence, R.I. : American Mathematical Society, [2001]

System Details:

text file

Contents:

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)

Notes:

Includes indexes.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Vasilʹev, V. A., 1956- Introduction to topology /

ISBN:

9781470421304

Access Restriction:

Restricted for use by site license.