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OverviewFor many years, John Hempel's book has been a standard text on the topology of 3-manifolds. 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 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 3-manifolds 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 3-manifolds. The prerequisites are few and are typical of a beginning graduate student. Exercises occur throughout the text. Full Product DetailsAuthor: John HempelPublisher: American Mathematical Society Imprint: American Mathematical Society ISBN: 9781470471644ISBN 10: 1470471647 Pages: 195 Publication Date: 01 January 1976 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsPreliminaries Heegaard splittings Connected sums The loop and sphere theorems Free groups Incompressible surfaces Kneser's conjecture on free products Finitely generated subgroups More on connected sums: Finite and abelian subgroups I-bundles Group extensions and fibrations Seifert fibered spaces Classification of $P^2$-irreducible, sufficiently large 3-manifolds Some approaches to the Poincare conjecture Open problems References Index Symbols and notation.ReviewsA careful and systematic development of the theory of the topology of 3-manifolds, focusing on the critical role of 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. -Mathematical Reviews Author InformationJohn Hempel, Rice University, Houston, TX. Tab Content 6Author Website:Countries AvailableAll regions |
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