Hilbert's fifth problem is the fifth mathematical problem from the problem list publicized in 1900 by mathematician David Hilbert, and concerns the characterization...

solution to Hilbert's fifth problem reduces the classification of topological groups that are topological manifolds to an algebraic problem, albeit a complicated...

widely varied areas of mathematics, including the solution of Hilbert's fifth problem, and was a leader in reform and innovation in math­e­mat­ics teaching...

consider Hilbert's fifth problem in the spirit of functional analysis. In two years, 1969–1970, Enflo published five papers on Hilbert's fifth problem; these...

Medal 2015 – PROSE award in the category of "Mathematics" for: "Hilbert's Fifth Problem and Related Topics" ISBN 978-1-4704-1564-8 2019 – Riemann Prize...

Other notable contributions include his definitive solution of Hilbert's fifth problem. Hidehiko Yamabe was born on August 22, 1923, in the city of Ashiya...

group with no small subgroup is a Lie group. (cf. Hilbert's fifth problem.) Hilbert's fifth problem § No small subgroups M. Goto, H., Yamabe, On some...

for David Hilbert, and the American topologist Paul A. Smith. It is considered by some to be a better formulation of Hilbert's fifth problem, than the...

make up Hilbert's eighth problem in David Hilbert's list of twenty-three unsolved problems; it is also one of the Millennium Prize Problems of the Clay...

of Lubotzky and Mann, combined with Michel Lazard's solution to Hilbert's fifth problem over the p-adic numbers, shows that a pro-p group is p-adic analytic...

Pontryagin duality. Using these tools, he was able to solve the case of Hilbert's fifth problem for abelian groups in 1934. In 1935, he was able to compute the...

theorem, was provided by Hilbert in 1909. Waring's problem has its own Mathematics Subject Classification, 11P05, "Waring's problem and variants". Long before...

he used the newly discovered Haar measure in the solution of Hilbert's fifth problem for the case of compact groups. The basic idea behind this was...

1995) was an American mathematician. He is best known for solving Hilbert's Fifth Problem with Deane Montgomery and Andrew M. Gleason in 1952. Leo Zippin...

Millennium Prize Problems Simon problems Taniyama's problems Hilbert's problems Thurston's 24 questions Smale, Steve (1998). "Mathematical Problems for the Next...

published papers on mathematical logic, and solved a special case of Hilbert's fifth problem. He was appointed a lecturer in mathematics at Cambridge in 1927...

immediately after Haar's paper, the Haar theorem was used to solve Hilbert's fifth problem restricted to compact groups by John von Neumann. Unless G {\displaystyle...

analytic. In particular, each point has a p-adic neighborhood. Hilbert's fifth problem asked whether replacing differentiable manifolds with topological...

is particularly known for his contributions to the solution of Hilbert's fifth problem. 1987 Martin Gardner for his many books and articles on mathematics...

"Brouwer's fixed point and invariance of domain theorems, and Hilbert's fifth problem". terrytao.wordpress.com. Retrieved 2 February 2022. Mill, J. van...

later explained in the context of Donaldson's theorem (compare Hilbert's fifth problem). Smooth structures on an orientable manifold are usually counted...

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

ISBN / Date incompatibility (help) Tao, Terence (2014-07-17). Hilbert's Fifth Problem and Related Topics. Graduate Studies in Mathematics. Vol. 153....

and topology. His initial interest lay in an attempt to solve Hilbert's fifth problem. In 1909, during a voyage to Paris, he met Henri Poincaré, Jacques...

interested in Hilbert's fifth problem on the analyticity of the continuous operation of topological groups. The solution of this problem by Andrew Gleason...

Rostov State University in 1948, and in 1952 proposed solutions to Hilbert's fifth problem and defended his thesis at Moscow State University. In 1956, he...

topology who was one of the contributors to the final resolution of Hilbert's fifth problem in the 1950s. He served as president of the American Mathematical...

combinatorics; Erdős Prize (2011) Leo Zippin (1905–1995), solved Hilbert's fifth problem Abraham Ziv (1940–2013), number theory Benedict Zuckermann (1818–1891)...

computational complexity theory—most notably in decision problems. Her work on Hilbert's tenth problem (now known as Matiyasevich's theorem or the MRDP theorem)...

1016/0001-8708(65)90042-3. Aczél, J. (1989). "The state of the second part of Hilbert's fifth problem". Bulletin of the American Mathematical Society. 20 (2): 153–163...