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A pleasant feature of 3 manifolds, in contrast to higher dimensions, is that there J Hempel. 3-Manifolds. Annals of Math Studies Princeton University. 3-Manifolds by John Hempel, , available at Book Depository with free delivery worldwide. This book is about the theory of 3-dimensional manifolds excluding knot theory Hempel’s clear treatment of it is a welcome addition to the literature.

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3-manifolds – John Hempel – Google Books

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A careful and systematic development of the theory of the topology of 3-manifolds, focusing on the critical role janifolds the fundamental group in determining the topological structure of a 3-manifold … self-contained … 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.


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 3-manifold. The essential ideas and techniques are covered in nanifolds first part of the book: Heegaard hempe, 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 3-manifolds that is completely determined by its fundamental group.

: 3-Manifolds (AMS Chelsea Publishing) (): John Hempel: Books

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 3-manifolds.

The prerequisites are few and are typical of a beginning graduate student. Exercises occur throughout the text. Join our email list.


Ordering on the AMS Bookstore is limited to individuals for personal use only. Author s Product display: Rice University, Houston, TX. An Imprint of the American Mathematical Society. Publication Month and Year: Online Price 1 Label: Print Price 1 Label: Online Price 2 Label: Print Price 2 Label: Online Price 3 Label: Print Price 3 Label: Dual Price 1 Label: Dual Price 2 Label: Graduate students and research mathematicians interested in low-dimensional topology.