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Fundamental Groups and Covering Spaces





ISBN 9780367446703
Published December 2, 2019 by A K Peters/CRC Press
214 Pages

 
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Book Description

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.

Table of Contents

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

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Author(s)

Biography

Lima, Elon Lages