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Seifert fibered spaces in 3-manifolds / William H. Jaco and Peter B. Shalen.
- Format:
- Book
- Author/Creator:
- Jaco, William H., 1940- author.
- Series:
- Memoirs of the American Mathematical Society ; number 220.
- Memoirs of the American Mathematical Society ; volume 21, number 220 (September 1979)
- Language:
- English
- Subjects (All):
- Fiber spaces (Mathematics).
- Manifolds (Mathematics).
- Homotopy theory.
- Knot theory.
- Physical Description:
- 1 online resource (203 p.)
- Edition:
- 1st ed.
- Other Title:
- Seifert fibered spaces in three-manifolds
- Place of Publication:
- Providence : American Mathematical Society, [1979]
- Language Note:
- English
- Contents:
- ""TABLE OF CONTENTS""; ""ABSTRACT""; ""INTRODUCTION""; ""CHAPTER I: DEFINITIONS AND PRELIMINARIES""; ""Â1. Basic Definitions and Notations""; ""Â2. Polyhedral Pairs""; ""Â3. Hierarchies""; ""CHAPTER II: SEIFERT PAIRS""; ""Â1. Definitions""; ""Â2. Seifert Fibered Spaces: Some Topological Properties""; ""Â3. Fuchsian Groups""; ""Â4. Seifert Fibered Spaces: Algebraic Properties""; ""Â5. Identification Spaces""; ""Â6. Covering Spaces""; ""Â7. Incompressible 2 â€? Manifolds""; ""Â8. Making Embedded Seifert Pairs Disjoint""; ""CHAPTER III: THE MAPPING THEOREM""
- ""Â1. Periodicity of Surface Homeomorphisms""""Â2. Essential Homotopies , I""; ""Â3. Essential Homotopies, II""; ""Â4. Mapping Seifert Pairs with Nonempty Boundary""; ""Â5. Mapping Arbitrary Seifert Pairs""; ""CHAPTER IV: TORUS â€? ANNULUS THEOREMS""; ""Â1. Nondegenerate Mappings of Tori and Annuli""; ""Â2. The Torus â€? Annulus Theorems for Seifert Pairs""; ""Â3. The Annulus Theorem""; ""Â4. The Torus Theorem""; ""CHAPTER V: CHARACTERISTIC SEIFERT PAIRS AND CANONICAL SPLITTING""; ""Â1. Two Theorems Reviewed""; ""Â2. Perfectly Embedded Pairs""; ""Â3. The Characteristic Pair""
- ""Â4. Canonical Splitting""""Â5. Consequences of the Splitting Theorem""; ""Â6. Generalizations""; ""CHAPTER VI: CENTRALIZERS, ROOTS AND RELATIONS""; ""Â1. Centralizers in 3 â€? Manifold Groups""; ""Â2. The Relation ab[sub(P)] a[sup(-1) = b[sup(q)]""; ""Â3. Roots""; ""Â4. Two â€? Generator Subgroups""; ""BIBLIOGRAPHY""; ""INDEX""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- Description based on print version record.
- ISBN:
- 1-4704-0601-2
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