3-Manifolds by John Hempel
A 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 For 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.-
Differential and Integral Calculus
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Finite Groups
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Analytic Function Theory, Volume II
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The Theory of Matrices, Volume 2
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Quest: an Autobiography
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Commutative Normed Rings
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The Theory of Matrices, Volume 1
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Introduction to Approximation Theory
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Differential Topology
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Modular Functions in Analytic Number Theory
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Lectures on the Calculus of Variations and Optimal Control Theory
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Complex Cobordism and Stable Homotopy Groups of Spheres
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Elementary Number Theory
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Partial Differential Equations
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Algebra, an Elementary Text-Book for the Higher Classes of Secondary Schools and for Colleges, Part 2
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Algebra, an Elementary Text-book for the Higher Classes of Secondary Schools and for Colleges, Part 1
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Generalized Functions, Volume 1
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Generalized Functions, Volume 2
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Generalized Functions, Volume 4
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The Theory of Probability
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Algebra
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Stochastic Integrals
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Lectures on Differential Geometry
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Calculus of Variations and Partial Differential Equations of First Order
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Differential Geometry and Symmetric Spaces
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Solved and Unsolved Problems in Number Theory
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Approximation of Functions
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Collected Papers of Srinivasa Ramanujan
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Set Theory
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Collected Papers on Wave Mechanics
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Basic Geometry
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Navier-Stokes Equations
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Analytic Functions of Several Complex Variables
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Spaces of Constant Curvature
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Principles of Mathematical Logic
A 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
John Hempel, Rice University, Houston, TX.
| SKU | Unavailable |
| ISBN 13 | 9781470471644 |
| ISBN 10 | 1470471647 |
| Title | 3-Manifolds |
| Author | John Hempel |
| Series | Ams Chelsea Publishing |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Year published | 1976-01-01 |
| Number of pages | 195 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |