1st Edition

Fundamental Groups and Covering Spaces

By Elon Lages Lima Copyright 2003
    214 Pages
    by A K Peters/CRC Press

    214 Pages
    by A K Peters/CRC Press

    This introductory textbook describes fundamental groups and their topological soul mates, the covering spaces. The author provides several illustrative examples that touch upon different areas of mathematics, but in keeping with the books introductory aim, they are all quite elementary. Basic concepts are clearly defined, proofs are complete, and no results from the exercises are assumed in the text.

    Part I: Fundamental Groups 1. Homotopy 2. The Fundamental Group 3. Some Examples and Applications 4. Classical Matrix Groups 5. The Winding Number Part II: Covering Spaces 6. Covering Spaces 7. Covering Maps and Fundamental Groups 8. Oriented Double Covering

    Biography

    Lima, Elon Lages