Softcover ISBN:  9781470471644 
Product Code:  CHEL/349.H.S 
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eBook ISBN:  9781470430252 
Product Code:  CHEL/349.H.E 
List Price:  $65.00 
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AMS Member Price:  $58.50 
Softcover ISBN:  9781470471644 
eBook: ISBN:  9781470430252 
Product Code:  CHEL/349.H.S.B 
List Price:  $134.00 $101.50 
MAA Member Price:  $120.60 $91.35 
AMS Member Price:  $120.60 $91.35 
Softcover ISBN:  9781470471644 
Product Code:  CHEL/349.H.S 
List Price:  $69.00 
MAA Member Price:  $62.10 
AMS Member Price:  $62.10 
eBook ISBN:  9781470430252 
Product Code:  CHEL/349.H.E 
List Price:  $65.00 
MAA Member Price:  $58.50 
AMS Member Price:  $58.50 
Softcover ISBN:  9781470471644 
eBook ISBN:  9781470430252 
Product Code:  CHEL/349.H.S.B 
List Price:  $134.00 $101.50 
MAA Member Price:  $120.60 $91.35 
AMS Member Price:  $120.60 $91.35 

Book DetailsAMS Chelsea PublishingVolume: 349; 1976; 195 ppMSC: Primary 57
A careful and systematic development of the theory of the topology of 3manifolds, focusing on the critical role of the fundamental group in determining the topological structure of a 3manifold ... selfcontained ... one can learn the subject from it ... would be very appropriate as a text for an advanced graduate course or as a basis for a working seminar.
—Mathematical Reviews
For many years, John Hempel's book has been a standard text on the topology of 3manifolds. Even though the field has grown tremendously, the book remains one of the best and most popular introductions to the subject.
The theme of this book is the role of the fundamental group in determining the topology of a given 3manifold. The essential ideas and techniques are covered in the first part of the book: Heegaard splittings, connected sums, the loop and sphere theorems, incompressible surfaces, free groups, and so on. Along the way, many useful and insightful results are proved, usually in full detail. Later chapters address more advanced topics, including Waldhausen's theorem on a class of 3manifolds that is completely determined by its fundamental group. The book concludes with a list of problems that were unsolved at the time of publication.
Hempel's book remains an ideal text to learn about the world of 3manifolds. The prerequisites are few and are typical of a beginning graduate student. Exercises occur throughout the text.
ReadershipGraduate students and research mathematicians interested in lowdimensional topology.

Table of Contents

Chapters

Chapter 1. Preliminaries

Chapter 2. Heegaard splittings

Chapter 3. Connected sums

Chapter 4. The loop and sphere theorems

Chapter 5. Free groups

Chapter 6. Incompressible surfaces

Chapter 7. Kneser’s conjecture on free products

Chapter 8. Finitely generated subgroups

Chapter 9. More on connected sums; Finite and abelian subgroups

Chapter 10. Ibundles

Chapter 11. Group extensions and fibrations

Chapter 12. Seifert fibered spaces

Chapter 13. Classification of $P^2$irreducible, sufficiently large 3manifolds

Chapter 14. Some approaches to the Poincaré conjecture

Chapter 15. Open problems


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A careful and systematic development of the theory of the topology of 3manifolds, focusing on the critical role of the fundamental group in determining the topological structure of a 3manifold ... selfcontained ... one can learn the subject from it ... would be very appropriate as a text for an advanced graduate course or as a basis for a working seminar.
—Mathematical Reviews
For many years, John Hempel's book has been a standard text on the topology of 3manifolds. Even though the field has grown tremendously, the book remains one of the best and most popular introductions to the subject.
The theme of this book is the role of the fundamental group in determining the topology of a given 3manifold. The essential ideas and techniques are covered in the first part of the book: Heegaard splittings, connected sums, the loop and sphere theorems, incompressible surfaces, free groups, and so on. Along the way, many useful and insightful results are proved, usually in full detail. Later chapters address more advanced topics, including Waldhausen's theorem on a class of 3manifolds that is completely determined by its fundamental group. The book concludes with a list of problems that were unsolved at the time of publication.
Hempel's book remains an ideal text to learn about the world of 3manifolds. The prerequisites are few and are typical of a beginning graduate student. Exercises occur throughout the text.
Graduate students and research mathematicians interested in lowdimensional topology.

Chapters

Chapter 1. Preliminaries

Chapter 2. Heegaard splittings

Chapter 3. Connected sums

Chapter 4. The loop and sphere theorems

Chapter 5. Free groups

Chapter 6. Incompressible surfaces

Chapter 7. Kneser’s conjecture on free products

Chapter 8. Finitely generated subgroups

Chapter 9. More on connected sums; Finite and abelian subgroups

Chapter 10. Ibundles

Chapter 11. Group extensions and fibrations

Chapter 12. Seifert fibered spaces

Chapter 13. Classification of $P^2$irreducible, sufficiently large 3manifolds

Chapter 14. Some approaches to the Poincaré conjecture

Chapter 15. Open problems