In mathematics, the Smith conjecture states that if f is a diffeomorphism of the 3-sphere of finite order, then the fixed point set of f cannot be a nontrivial...

In mathematics, the Hilbert–Smith conjecture is concerned with the transformation groups of manifolds; and in particular with the limitations on topological...

Waldhausen conjectured that every closed orientable 3-manifold has only finitely many Heegaard splittings (up to homeomorphism) of any given genus. The Smith conjecture...

powers conjecture Ganea conjecture Generalized Smith conjecture Hauptvermutung Hedetniemi's conjecture, counterexample announced 2019 Hirsch conjecture (disproved...

2003. The conjecture was independently proven for groups whose actions have fixed points—this special case is known as the Smith conjecture. It is also...

accomplishments there included solving the three-dimensional case of the Hilbert–Smith conjecture. He completed his Ph.D. in 2015, under the supervision of Yakov Eliashberg...

transformation group rather than an abstract group) results in the Hilbert–Smith conjecture about group actions on manifolds, which in full generality is still...

2000, six remain unsolved to date: Birch and Swinnerton-Dyer conjecture Hodge conjecture Navier–Stokes existence and smoothness P versus NP Riemann hypothesis...

problems. One exception consists of three conjectures made by André Weil in the late 1940s (the Weil conjectures). In the fields of algebraic geometry, number...

topology: the Smith conjecture, which is now a theorem, and the Hilbert–Smith conjecture, which was proved in dimension 3 in 2013. Smith theory is a theory...

Criterion, and the proof of the Lipschitz case of the classical Hilbert–Smith conjecture. Presently he is most actively investigating in nonlinear analysis...

their complement. Gordon was also involved in the resolution of the Smith conjecture. Andrew Casson and Gordon defined and proved basic theorems regarding...

(see also Hauptvermutung) Poincaré conjecture Thurston elliptization conjecture Thurston's geometrization conjecture Hyperbolic 3-manifolds Spherical 3-manifolds...

Hilbert's paradox of the Grand Hotel Hilbert–Schmidt operator Hilbert–Smith conjecture Hilbert–Burch theorem Hilbert's irreducibility theorem Hilbert's Nullstellensatz...

William Smith conjectures that Iasus may be the same as Oeum; the editors of the Barrington Atlas of the Greek and Roman World conjecture that it may...

manifold Loop theorem K-theory of a category Smith conjecture Surface subgroup conjecture Virtually Haken conjecture History of knot theory Waldhausen category...

the positive mass conjecture, the Penrose conjecture) and three-manifold geometry (e.g. the Smith conjecture, the Poincaré conjecture, the Thurston Geometrization...

integral operator Hilbert–Schmidt theorem Hilbert–Serre theorem Hilbert–Smith conjecture Hilbert–Speiser theorem Hilbert–Waring theorem Hilbert's arithmetic...

criterion Local Lie group Formal group law Hilbert's fifth problem Hilbert-Smith conjecture Lie group decompositions Real form (Lie theory) Complex Lie group Complexification...

equal to a wildly embedded 2-sphere, which meant that the original Smith conjecture needed to be phrased in a suitable category. This result also jump-started...

Milnor conjecture (topology) Milnor map Möbius energy Mutation (knot theory) Physical knot theory Planar algebra Smith conjecture Tait conjectures Temperley–Lieb...

analytic structure on G which turns it into a Lie group (see also Hilbert–Smith conjecture). If the underlying manifold is allowed to be infinite-dimensional...

Thurston's uniformization theorem for three-dimensional manifolds. The Smith conjecture (New York, 1979), 37–125, Pure Appl. Math., 112, Academic Press, Orlando...

Haken manifolds are hyperbolic, and in particular satisfy the Thurston conjecture. One form of the hyperbolization theorem states: If M is a compact irreducible...

existence of a real analytic structure on the group action. The Hilbert–Smith conjecture, still unsolved, encapsulates the remaining difficulties of this case...

In mathematics, the Ravenel conjectures are a set of mathematical conjectures in the field of stable homotopy theory posed by Douglas Ravenel at the end...

temple of Apollo Phylleius. Statius calls this city Phylli. William Smith conjectures that the town of Iresiae mentioned by Livy, is perhaps a false reading...

determined (up to mirror-reflection) by their complements, and the Smith conjecture. Interest in knot theory from the general mathematical community grew...

mathematics, more specifically symplectic topology, the nearby Lagrangian conjecture, is an open mathematical problem often attributed to Vladimir Arnold....

the Halys River and Mount Argaeus, mentioned by Ptolemy. William Smith conjectured it was possibly the same as Ochras. Modern scholars do not accept...