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Fundamental Groups and Covering Spaces

Autor Elon Lages Lima
en Limba Engleză Paperback – 2 dec 2019
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.
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Specificații

ISBN-13: 9780367446703
ISBN-10: 0367446707
Pagini: 214
Dimensiuni: 152 x 229 x 12 mm
Greutate: 0.45 kg
Ediția:1
Editura: CRC Press
Colecția A K Peters/CRC Press

Public țintă

Professional Practice & Development

Cuprins

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

Descriere

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.