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27 relations: Brun sieve, Closed geodesic, Differential geometry, George David Birkhoff, Goldbach's conjecture, Gomel, Henri Poincaré, Inscribed square problem, Lazar Lyusternik, Lev Pontryagin, Lusternik–Schnirelmann category, Marston Morse, Mathematician, Mathematics, Moscow State University, Natural number, Nikolai Luzin, Number theory, Prime number, Riemannian manifold, Russian Empire, Russian Soviet Federative Socialist Republic, Schnirelmann density, Soviet Union, Steklov Institute of Mathematics, Theorem of the three geodesics, Topology.
Brun sieve
In the field of number theory, the Brun sieve (also called Brun's pure sieve) is a technique for estimating the size of "sifted sets" of positive integers which satisfy a set of conditions which are expressed by congruences.
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Closed geodesic
In differential geometry and dynamical systems, a closed geodesic on a Riemannian manifold is a geodesic that returns to its starting point with the same tangent direction.
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Differential geometry
Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry.
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George David Birkhoff
George David Birkhoff (March 21, 1884 – November 12, 1944) was an American mathematician best known for what is now called the ergodic theorem.
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Goldbach's conjecture
Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics.
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Gomel
Gomel (also Homieĺ, Homiel, Homel or Homyel’; Belarusian: Го́мель, Łacinka: Homiel,, Russian: Го́мель) is the administrative centre of Gomel Region and with 526,872 inhabitants (2015 census) the second-most populous city of Belarus.
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Henri Poincaré
Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.
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Inscribed square problem
The inscribed square problem, also known as the square peg problem or the Toeplitz' conjecture, is an unsolved question in geometry: Does every plane simple closed curve contain all four vertices of some square? This is true if the curve is convex or piecewise smooth and in other special cases.
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Lazar Lyusternik
Lazar Aronovich Lyusternik (also Lusternik, Lusternick, Ljusternik; Ла́зарь Аро́нович Люсте́рник; 31 December 1899, Zduńska Wola, Congress Poland, Russian Empire (present-day Republic of Poland) – 23 July 1981, Moscow, Russia, Soviet Union) was a Soviet mathematician.
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Lev Pontryagin
Lev Semyonovich Pontryagin (Лев Семёнович Понтрягин, also written Pontriagin or Pontrjagin) (3 September 1908 – 3 May 1988) was a Soviet mathematician.
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Lusternik–Schnirelmann category
In mathematics, the Lyusternik–Schnirelmann category (or, Lusternik–Schnirelmann category, LS-category) of a topological space X is the homotopy invariant defined to be the smallest integer number k such that there is an open covering \_ of X with the property that each inclusion map U_i\hookrightarrow X is nullhomotopic.
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Marston Morse
Harold Calvin Marston Morse (March 24, 1892 – June 22, 1977) was an American mathematician best known for his work on the calculus of variations in the large, a subject where he introduced the technique of differential topology now known as Morse theory.
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Moscow State University
Lomonosov Moscow State University (MSU; Московский государственный университет имени М. В. Ломоносова, often abbreviated МГУ) is a coeducational and public research university located in Moscow, Russia.
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Natural number
In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").
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Nikolai Luzin
Nikolai Nikolaevich Luzin (also spelled Lusin; a; 9 December 1883 – 28 January 1950) was a Soviet/Russian mathematician known for his work in descriptive set theory and aspects of mathematical analysis with strong connections to point-set topology.
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Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
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Prime number
A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
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Riemannian manifold
In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space (M,g) is a real, smooth manifold M equipped with an inner product g_p on the tangent space T_pM at each point p that varies smoothly from point to point in the sense that if X and Y are differentiable vector fields on M, then p \mapsto g_p(X(p),Y(p)) is a smooth function.
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Russian Empire
The Russian Empire (Российская Империя) or Russia was an empire that existed across Eurasia and North America from 1721, following the end of the Great Northern War, until the Republic was proclaimed by the Provisional Government that took power after the February Revolution of 1917.
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Russian Soviet Federative Socialist Republic
The Russian Soviet Federative Socialist Republic (Russian SFSR or RSFSR; Ru-Российская Советская Федеративная Социалистическая Республика.ogg), also unofficially known as the Russian Federation, Soviet Russia,Declaration of Rights of the laboring and exploited people, article I or Russia (rɐˈsʲijə; from the Ρωσία Rōsía — Rus'), was an independent state from 1917 to 1922, and afterwards the largest, most populous, and most economically developed union republic of the Soviet Union from 1922 to 1991 and then a sovereign part of the Soviet Union with priority of Russian laws over Union-level legislation in 1990 and 1991.
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Schnirelmann density
In additive number theory, the Schnirelmann density of a sequence of numbers is a way to measure how "dense" the sequence is.
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Soviet Union
The Soviet Union, officially the Union of Soviet Socialist Republics (USSR) was a socialist state in Eurasia that existed from 1922 to 1991.
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Steklov Institute of Mathematics
Steklov Institute of Mathematics or Steklov Mathematical Institute (Математический институт имени В.А.Стеклова) is a premier research institute based in Moscow, specialized in mathematics, and a part of the Russian Academy of Sciences.
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Theorem of the three geodesics
In differential geometry the theorem of the three geodesics states that every Riemannian manifold with the topology of a sphere has at least three closed geodesics that form simple closed curves without self-intersections.
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Topology
In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.
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References
[1] https://en.wikipedia.org/wiki/Lev_Schnirelmann
