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Product Description
This introductory textbook describes fundamental groups and their topological soul mates, the covering spaces.
About the Author
Elon Lages Lima is the Executive Director, Undergraduate Program in Business Administration and Economics at the Fundacao Getulio Vargas in Rio de Janeiro, Brazil. Lima received his M.S. and Ph.D. from the University of Chicago.
This introductory textbook describes fundamental groups and their topological soul mates, the covering spaces.
About the Author
Elon Lages Lima is the Executive Director, Undergraduate Program in Business Administration and Economics at the Fundacao Getulio Vargas in Rio de Janeiro, Brazil. Lima received his M.S. and Ph.D. from the University of Chicago.
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Inside This Book Citations: This book cites 4 books Explore: Citations | Books on Related Topics | Concordance | Text Stats Key Phrases - SIPs: oriented double covering, free homotopic, orienting path, unique path lifting property, locally injective map (more) Key Phrases - CAPs: Inverse Function Browse Sample Pages: Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover | Surprise Me! |
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Inside This Book
(learn more)
First Sentence:
In this chapter, we introduce the basic notions about homotopy that will be used throughout the book. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
oriented double covering, free homotopic, orienting path, unique path lifting property, locally injective map, properly discontinuous group, distinguished neighborhood, locally trivial fibration, regular homotopy, topological group structure, local homeomorphism, same homotopy type, same rotation number, two continuous maps, closed differential form, path homotopy, antipodal map, conjugate class, free homotopy, convenient neighborhood, fundamental group, covering map, continuous multiplication, contractible space, local diffeomorphism Key Phrases - Capitalized Phrases (CAPs): (learn more)
Inverse Function New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover | Surprise Me!
In this chapter, we introduce the basic notions about homotopy that will be used throughout the book. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
oriented double covering, free homotopic, orienting path, unique path lifting property, locally injective map, properly discontinuous group, distinguished neighborhood, locally trivial fibration, regular homotopy, topological group structure, local homeomorphism, same homotopy type, same rotation number, two continuous maps, closed differential form, path homotopy, antipodal map, conjugate class, free homotopy, convenient neighborhood, fundamental group, covering map, continuous multiplication, contractible space, local diffeomorphism Key Phrases - Capitalized Phrases (CAPs): (learn more)
Inverse Function New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 4
books:
- Foundations of Algebraic Topology by Samuel Eilenberg in Back Matter
- Outside In by Karen Romano Young in Back Matter
- Algebraic Topology by Edwin H. Spanier in Back Matter
- Algebraic Topology: An Introduction (Graduate Texts in Mathematics) by William S. Massey in Back Matter
