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

Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. They were all unsolved at the time, and several...

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

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

fundamental groups. Halperin conjecture on rational Serre spectral sequences of certain fibrations. Hilbert–Smith conjecture: if a locally compact topological...

Hilbert–Serre theorem Hilbert–Smith conjecture Hilbert–Speiser theorem Hilbert–Waring theorem Hilbert's arithmetic of ends Hilbert's axioms Hilbert's...

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

dimension at least 4 can be a knotted sphere of codimension 2. Hilbert–Smith conjecture Eilenberg, Samuel (1949), "On the Problems of Topology", Annals...

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...

h-cobordism theorem s-cobordism theorem Manifold decomposition Hilbert-Smith conjecture Mapping class group Orbifolds Examples Exotic sphere Homology sphere...

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

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

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

group (see also Hilbert–Smith conjecture). If the underlying manifold is allowed to be infinite-dimensional (for example, a Hilbert manifold), then one...

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

eigenvector, so it has a 1-dimensional invariant subspace. The conjecture is true if the Hilbert space H {\displaystyle H} is not separable (i.e. if it has...

allowing physics to form a bridge between two mathematical areas. The conjectures made by Conway and Norton were proven by Richard Borcherds for the moonshine...

action on any K3 CFT, so the appearance of an action on the underlying Hilbert space is still a mystery. Eguchi and Hikami showed that the N=(4,4) multiplicities...

intersection points. In 1899 David Hilbert gave a complete set of (second order) axioms for Euclidean geometry, called Hilbert's axioms, and between 1926 and...

bilinear Hilbert transform for 2<p<∞. Ann. of Math. (2) 146 (1997), no. 3, 693–724. Lacey, Michael; Thiele, Christoph On Calderón's conjecture. Ann. of...