3-Manifolds - Poincar Conjecture, Figure-Eight Knot, Geometrization Conjecture, Floer Homology, Seifert Fiber Space, Ricci Flow (Paperback)

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 50. Chapters: Poincar conjecture, Figure-eight knot, Geometrization conjecture, Floer homology, Seifert fiber space, Ricci flow, Solution of the Poincar conjecture, Kleinian group, Heegaard splitting, Homology sphere, Hyperbolization theorem, Lens space, Analytic torsion, Haken manifold, Spherical 3-manifold, SnapPea, Clasper, Unknotting problem, Dehn surgery, Whitehead manifold, JSJ decomposition, Finite type invariant, Tameness theorem, Dehn's lemma, Hyperbolic 3-manifold, Ending lamination theorem, Weeks manifold, Picard horn, Hyperbolic Dehn surgery, Loop theorem, Pretzel link, Sphere theorem, I-bundle, 2 theorem, Incompressible surface, The geometry and topology of three-manifolds, Seifert-Weber space, Arithmetic topology, Virtually fibered conjecture, Trigenus, Gordon-Luecke theorem, Normal surface, Geometric topology, Lickorish-Wallace theorem, Torus bundle, Gieseking manifold, Property P conjecture, Branched surface, Arithmetic hyperbolic 3-manifold, Scott core theorem, Prime decomposition, Smith conjecture, Surface bundle over the circle, Meyerhoff manifold, Graph manifold, Hyperbolic link, Handle decompositions of 3-manifolds, Thurston elliptization conjecture, Pleated surface, Taut foliation, Solid Klein bottle, Atoroidal, Berge conjecture, Cyclic surgery theorem, Algebraic topology, Compression body, ( 2,3,7) pretzel knot, Virtually Haken conjecture, Horoball, Sufficiently large, Surface subgroup conjecture, Berge knot, Bing's recognition theorem, P -irreducible. Excerpt: Thurston's geometrization conjecture states that compact 3-manifolds can be decomposed canonically into submanifolds that have geometric structures. The geometrization conjecture is an analogue for 3-manifolds of the uniformization theorem for surfaces. It was proposed by William Thurston (1982), and implies several other conjectures, such as the ...