Definition of Atoroidality. Meaning of Atoroidality. Synonyms of Atoroidality

Here you will find one or more explanations in English for the word Atoroidality. Also in the bottom left of the page several parts of wikipedia pages related to the word Atoroidality and, of course, Atoroidality synonyms and on the right images related to the word Atoroidality.

Definition of Atoroidality

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Meaning of Atoroidality from wikipedia

- require atoroidal 3-manifolds to satisfy certain additional restrictions. For instance: Boris Apanasov (2000) gives a definition of atoroidality that combines...
- component of the 3-manifold obtained by cutting along the tori is either atoroidal or Seifert-fibered. The acronym JSJ is for William Jaco, Peter Shalen...
- oriented 3-manifold along tori into pieces that are Seifert manifolds or atoroidal called the JSJ decomposition, which is not quite the same as the decomposition...
- component of the 3-manifold obtained by cutting along the tori is either atoroidal or Seifert-fibered. The acronym JSJ is for William Jaco, Peter Shalen...
- geometrization theorem or hyperbolization theorem implies that closed atoroidal Haken manifolds are hyperbolic, and in particular satisfy the Thurston...
- Irreducible, orientable, compact 3-manifolds Cut along embedded tori Atoroidal or Seifert-fibered 3-manifolds Union along their boundary, using the trivial...
- also known as a toroidal vortex; a toroidal flow in fluid mechanics Atoroidal Torus (disambiguation) This disambiguation page lists articles ****ociated...
- greater than 6 results in a hyperbolike 3-manifold, i.e. an irreducible, atoroidal, non-Seifert-fibered 3-manifold with infinite word hyperbolic fundamental...
- mathematician William Thurston, states that every closed, irreducible, atoroidal 3-manifold with infinite fundamental group has a finite cover which is...
- it implies that if X is a compact, connected, orientable, irreducible, atoroidal 3-orbifold with non-empty singular locus, then M has a geometric structure...