Haken manifold
Haken manifold In mathematics, a Haken manifold is a compact, P²-irreducible 3-manifold that contains a two-sided incompressible ...
http://en.wikipedia.org/wiki/Haken_manifold - 9k - Cached - Similar pages

Talk:Haken manifold
Talk:Haken manifold I got rid of the link to ... Waldhausen's proof of topological rigidity for Haken manifolds. Topological rigidity is actually an ambiguous ... is Klaus Johannson's proof that atoroidal Haken three-manifolds have finite mapping class groups ... hyperbolic case" mean? In terms of hyperbolic Haken manifolds, they are atoroidal Haken manifolds. ...
http://en.wikipedia.org/wiki/Talk:Haken_manifold - 8k - Cached - Similar pages

3-manifold
3-manifold In mathematics, a 3-manifold is a 3-dimensional manifold. The topological, piecewise-linear, and smooth categories ... quantum field theory, and gauge theory. 3-manifold theory is a part of low-dimensional ... the theory is to study a 3-manifold by considering special surfaces embedded in ...
http://en.wikipedia.org/wiki/3-manifold - 7k - Cached - Similar pages

Manifold decomposition
Manifold decomposition In topology, a branch of mathematics, decompositions or splittings of a manifold M is writing M as a combination ... they are put together to form M. Manifold decomposition works in two directions: one can ... the smaller pieces and build up a manifold, or start with a large manifold and decompose it. The latter has ...
http://en.wikipedia.org/wiki/Manifold_decomposition - 6k - Cached - Similar pages

Weeks manifold
Weeks manifold In mathematics, the Weeks manifold is a closed hyperbolic 3-manifold obtained by (5,2) and (5,1 ... smallest known volume of any hyperbolic 3-manifold to date (as of February 2006). Note that the cusped hyperbolic 3-manifold obtained by (5,1) Dehn surgery ...
http://en.wikipedia.org/wiki/Weeks_manifold - 2k - Cached - Similar pages

Hyperbolic 3-manifold
Hyperbolic 3-manifold A hyperbolic 3-manifold is a 3-manifold equipped with a complete Riemannian metric of ... surface and the closed half-ray. The manifold is of finite volume if and only ... can sometimes manually construct a hyperbolic 3-manifold, such as with Seifert-Weber space, ...
http://en.wikipedia.org/wiki/Hyperbolic_3-manifold - 3k - Cached - Similar pages

Heegaard splitting
... is a special structure on a 3-manifold that results from dividing it into two ... W. This is clearly a three-manifold. The remarkable fact is that every closed, orientable three-manifold is obtained in this manner. This follows ... it is not reducible. It follows from Haken's Lemma that in a reducible manifold every splitting is reducible. A Heegaard ...
http://en.wikipedia.org/wiki/Heegaard_splitting - 19k - Cached - Similar pages

Talk:Geometrization conjecture
... Does it mean that each compact 3-manifold can be decomposed into prime 3-manifolds ... JSJ decomposition is applied to each prime manifold except for certain exceptions (since the JSJ decomposition requires irreducibility and every prime manifold, except for these exceptions are irreducible). Yeah ... Does it mean that each compact 3-manifold can be decomposed into prime 3-manifolds ... Does it mean that each compact 3-manifold can be decompsed in two quite ...
http://en.wikipedia.org/wiki/Talk:Geometrization_conjecture - 8k - Cached - Similar pages

List of mathematics articles (G-I)
... Ga G-delta set -- G-structure -- G2 manifold -- G2 (mathematics) -- Gabor filter -- Gabriel's Horn ... Graph invariant -- Graph isomorphism -- Graph labeling -- Graph manifold -- Graph (mathematics) -- Graph morphism -- Graph of a ... theorem -- Hahn-Kolmogorov theorem -- Hairy ball theorem -- Haken manifold -- Hales–Jewett theorem -- Half-integer -- Half iterate -- Half ... Hermitian -- Hermitian adjoint -- Hermitian hat wavelet -- Hermitian manifold -- Hermitian matrix -- Hermitian metric -- Hermitian operator -- ...
http://en.wikipedia.org/wiki/List_of_mathematics_articles_(G-I) - 63k - Cached - Similar pages

Category:3-manifolds
... this section of this category. 3 3-manifold A Atoroidal B Branched surface C Compression ... invariant Floer homology G Geometrization conjecture Graph manifold H Haken manifold Heegaard splitting Homology sphere H cont. Hyperbolic 3-manifold Hyperbolic link I Incompressible surface J ...
http://en.wikipedia.org/wiki/Category:3-manifolds - 2k - Cached - Similar pages