Fundamental Groups and Covering Spaces

The subjects discussed in this book are well suited as an introduction to algebraic topology for their elementary character, for exhibiting in a clear way the use of algebraic invariants in topological problems and also because of the immediate applications to other areas of mathematics.

List 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

About the author

Lima, Elon Lages

Summary

The subjects discussed in this book are well suited as an introduction to algebraic topology for their elementary character, for exhibiting in a clear way the use of algebraic invariants in topological problems and also because of the immediate applications to other areas of mathematics.

Product details

• Authors: Elon Lages Lima
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 31.12.2019
• EAN: 9780367446703
• ISBN: 978-0-367-44670-3
• No. of pages: 214
• Subject: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries