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Pavel Urysohn

Index Pavel Urysohn

Pavel Samuilovich Urysohn (Па́вел Самуи́лович Урысо́н) (February 3, 1898 – August 17, 1924) was a Soviet mathematician of Jewish origin who is best known for his contributions in dimension theory, and for developing Urysohn's Metrization Theorem and Urysohn's Lemma, both of which are fundamental results in topology. [1]

22 relations: Andrey Kolmogorov, Batz-sur-Mer, Brittany, Compact space, Dimension theory, France, Inductive dimension, Jews, Lazar Lyusternik, Mark Krasnosel'skii, Mathematician, Metrization theorem, Moscow State University, Nikolai Luzin, Odessa, Pavel Alexandrov, Sequential space, Soviet Union, Topology, Urysohn universal space, Urysohn's lemma, Vadim Yefremovich.

Andrey Kolmogorov

Andrey Nikolaevich Kolmogorov (a, 25 April 1903 – 20 October 1987) was a 20th-century Soviet mathematician who made significant contributions to the mathematics of probability theory, topology, intuitionistic logic, turbulence, classical mechanics, algorithmic information theory and computational complexity.

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Batz-sur-Mer

Batz-sur-Mer (Breton: Bourc'h-Baz) is a commune in the Loire-Atlantique department in western France.

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Brittany

Brittany (Bretagne; Breizh, pronounced or; Gallo: Bertaèyn, pronounced) is a cultural region in the northwest of France, covering the western part of what was known as Armorica during the period of Roman occupation.

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Compact space

In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).

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Dimension theory

In mathematics, dimension theory is a branch of general topology dealing with dimensional invariants of topological spaces.

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France

France, officially the French Republic (République française), is a sovereign state whose territory consists of metropolitan France in Western Europe, as well as several overseas regions and territories.

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Inductive dimension

In the mathematical field of topology, the inductive dimension of a topological space X is either of two values, the small inductive dimension ind(X) or the large inductive dimension Ind(X).

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Jews

Jews (יְהוּדִים ISO 259-3, Israeli pronunciation) or Jewish people are an ethnoreligious group and a nation, originating from the Israelites Israelite origins and kingdom: "The first act in the long drama of Jewish history is the age of the Israelites""The people of the Kingdom of Israel and the ethnic and religious group known as the Jewish people that descended from them have been subjected to a number of forced migrations in their history" and Hebrews of the Ancient Near East.

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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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Mark Krasnosel'skii

Mark Alexandrovich Krasnosel'skii (Ма́рк Алекса́ндрович Красносе́льский) (April 27, 1920, Starokostiantyniv – February 13, 1997, Moscow) was a Soviet, Russian and Ukrainian mathematician renowned for his work on nonlinear functional analysis and its applications.

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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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Metrization theorem

In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space.

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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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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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Odessa

Odessa (Оде́са; Оде́сса; אַדעס) is the third most populous city of Ukraine and a major tourism center, seaport and transportation hub located on the northwestern shore of the Black Sea.

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Pavel Alexandrov

Pavel Sergeyevich Alexandrov (Па́вел Серге́евич Алекса́ндров), sometimes romanized Paul Alexandroff or Aleksandrov (7 May 1896 – 16 November 1982), was a Soviet mathematician.

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Sequential space

In topology and related fields of mathematics, a sequential space is a topological space that satisfies a very weak axiom of countability.

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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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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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Urysohn universal space

The Urysohn universal space is a certain metric space that contains all separable metric spaces in a particularly nice manner.

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Urysohn's lemma

In topology, Urysohn's lemma is a lemma that states that a topological space is normal if and only if any two disjoint closed subsets can be separated by a continuous function.

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Vadim Yefremovich

Vadim Arsenyevich Yefremovich (or Efremovich) (Вади́м Арсе́ньевич Ефре́мович; 16 October 1903 – 1 May 1989) was a Soviet mathematician.

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Redirects here:

Paul Samuilovich Urysohn, Paul Urysohn, Pavel Samuilovich Urysohn, Pavel Samuilovich Uryson, Pavlo Urysohn, Urysohn.

References

[1] https://en.wikipedia.org/wiki/Pavel_Urysohn

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