Introduction to 3-manifolds

by Schultens, Jennifer

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Title Statements

Full title :Introduction to 3-manifolds / Jennifer Schultens.

Edition Statements

Publication Date:2014.

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence, Rhode Island
Language:eng
Publication Date:2014.

The Physical Object

Description:x, 286 pages : : illustrations ; : 27 cm.

Edition Identifiers

ISBN:9781470410209, 1470410206
oclc:ocn863801604
LC Classification:QA613.2
Dewey Decimal:514/.34

1. Perspectives on Manifolds. 1.1. Topological Manifolds -- 1.2. Differentiable Manifolds -- 1.3. Oriented Manifolds -- 1.4. Triangulated Manifolds -- 1.5. Geometric Manifolds -- 1.6. Connected Sums -- 1.7. Equivalence of Categories -- 2. Surfaces. 2.1. A Few Facts about 1-Manifolds -- 2.2. Classification of Surfaces -- 2.3. Decompositions of Surfaces -- 2.4. Covering Spaces and Branched Covering Spaces -- 2.5. Homotopy and Isotopy on Surfaces -- 2.6. The Mapping Class Group -- 3. 3-Manifolds. 3.1. Bundles -- 3.2. The Schonflies Theorem -- 3.3. 3-Manifolds that are Prime but Reducible -- 3.4. Incompressible Surfaces -- 3.5. Dehn's Lemma* -- 3.6. Hierarchies* -- 3.7. Seifert Fibered Spaces -- 3.8. JSJ Decompositions -- 3.9. Compendium of Standard Arguments -- 4. Knots and Links in 3-Manifolds. 4.1. Knots and Links -- 4.2. Reidemeister Moves -- 4.3. Basic Constructions -- 4.4. Knot Invariants -- 4.5. Zoology -- 4.6. Braids -- 4.7. The Alexander Polynomial -- 4.8. Knots and Height Functions -- 4.9. The Knot Group* -- 4.10. Covering Spaces* -- 5. Triangulated 3-Manifolds. 5.1. Simplicial Complexes -- 5.2. Normal Surfaces -- 5.3. Diophantine Systems -- 5.4. 2-Spheres* -- 5.5. Prime Dec…

Subjects

Dimension 3 Manifolds (Mathematics) Manifolds and cell complexes -- PL-topo… Manifolds and cell complexes -- Topolog… Mannigfaltigkeit Three-manifolds (Topology) Topological manifolds Topologische Mannigfaltigkeit Variétés (Mathématiques) Variétés topologiques Variétés topologiques à 3 dimensions