fundamental conjecture

См. также в других словарях:

• Poincaré conjecture — In mathematics, the Poincaré conjecture (French, pronounced|pwɛ̃kaʀe) [cite encyclopedia | encyclopedia=The American Heritage Dictionary of the English Language | title=Poincaré, Jules Henri | url=http://www.bartleby.com/61/3/P0400300.html |… …   Wikipedia

• Geometrization conjecture — 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… …   Wikipedia

• Borel conjecture — In mathematics, specifically geometric topology, the Borel conjecture asserts that an aspherical closed manifold is determined by its fundamental group, up to homeomorphism. It is a rigidity conjecture, demanding that a weak, algebraic notion of… …   Wikipedia

• Hodge conjecture — The Hodge conjecture is a major unsolved problem in algebraic geometry which relates the algebraic topology of a non singular complex algebraic variety and the subvarieties of that variety. More specifically, the conjecture says that certain de… …   Wikipedia

• Novikov conjecture — This page concerns mathematician Sergei Novikov s topology conjecture. For astrophysicist Igor Novikov s conjecture regarding time travel, see Novikov self consistency principle. The Novikov conjecture is one of the most important unsolved… …   Wikipedia

• Thurston elliptization conjecture — William Thurston s elliptization conjecture states that a closed 3 manifold with finite fundamental group is spherical, i.e. has a Riemannian metric of constant positive sectional curvature. A 3 manifold with such a metric is covered by the 3… …   Wikipedia

• Surface subgroup conjecture — In mathematics, the surface subgroup conjecture of Friedhelm Waldhausen states that the fundamental group of every closed, irreducible 3 manifold with infinite fundamental group has a surface subgroup. By surface subgroup we mean the fundamental… …   Wikipedia

• Calogero conjecture — The Calogero conjectureGaeta, Giuseppe. (2000). On the cosmological implications of the Calogero conjecture Retrieved on 26 August, 2007 from [http://citeseer.ist.psu.edu/rd/14277273,431116,1,0.25,Download/http://citeseer.ist.psu.edu/cache/papers/… …   Wikipedia

• Virtually fibered conjecture — In the mathematical subfield of 3 manifolds, the virtually fibered conjecture of Thurston states: every closed, irreducible, atoroidal 3 manifold with infinite fundamental group has a finite cover which is a surface bundle over the circle. A 3… …   Wikipedia

• Carathéodory conjecture — The Carathéodory conjecture is a mathematical conjecture attributed to Constantin Carathéodory by Hans Ludwig Hamburger in a session of the Berlin Mathematical Society in 1924, [1] . Other early referencesare the presentation [3] of Stefan Cohn… …   Wikipedia

• Virtually Haken conjecture — In mathematics, the virtually Haken conjecture states that every compact, orientable, irreducible 3 manifold with infinite fundamental group is virtually Haken , i.e. finitely covered by a Haken manifold. Assuming the geometrization conjecture,… …   Wikipedia