For the lawyer and state official of the Russian Empire, see Pavel Alexandrovich Alexandrov.
This article is about the Moscow-based mathematician. For the Leningrad-based mathematician, see Aleksandr Danilovich Aleksandrov.
Pavel Alexandrov
Born
Pavel Sergeyevich Alexandrov
(1896-05-07)7 May 1896
Bogorodsk, Moscow Governorate, Russian Empire
Died
16 November 1982(1982-11-16) (aged 86)
Moscow, Soviet Union
Nationality
Soviet Union
Alma mater
Moscow State University
Scientific career
Fields
Mathematics
Doctoral advisor
Dmitri Egorov Nikolai Luzin
Doctoral students
Aleksandr Kurosh Lev Pontryagin Yu. M. Smirnov Petru Soltan Andrey Tikhonov Lev Tumarkin
Pavel Sergeyevich Alexandrov (Russian: Па́вел Серге́евич Алекса́ндров), sometimes romanized Paul Alexandroff (7 May 1896 – 16 November 1982), was a Soviet mathematician. He wrote roughly three hundred papers, making important contributions to set theory and topology. In topology, the Alexandroff compactification and the Alexandrov topology are named after him.
Pavel Sergeyevich Alexandrov (Russian: Па́вел Серге́евич Алекса́ндров), sometimes romanized Paul Alexandroff (7 May 1896 – 16 November 1982), was a Soviet...
being an Alexandrov-discrete space is preserved under quotients. Alexandrov-discrete spaces are named after the Russian topologist PavelAlexandrov. They...
which are fundamental in mathematical physics. She was described by PavelAlexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl and Norbert Wiener as...
1948 and should not be confused with Alexandrov-discrete spaces named after the Russian topologist PavelAlexandrov. They were studied in detail by Burago...
was a predecessor of the notion of compact space introduced by PavelAlexandrov and Pavel Urysohn in 1929. Montel, Paul (1927). Leçons sur les familles...
doctoral students included some of the most famous Soviet mathematicians: PavelAlexandrov, Nina Bari, Aleksandr Khinchin, Andrey Kolmogorov, Aleksandr Kronrod...
contained in the family. This more subtle notion, introduced by PavelAlexandrov and Pavel Urysohn in 1929, exhibits compact spaces as generalizations of...
supervision of Nikolai Luzin. He formed a lifelong close friendship with PavelAlexandrov, a fellow student of Luzin; indeed, several researchers have concluded...
State University, where he was strongly influenced by the lectures of PavelAlexandrov who would become his doctoral thesis advisor. After graduating in 1929...
to PavelAlexandrov. Nowadays, the correct mathematical term for the Alexandrov topology on spacetime (which goes back to Alexandr D. Alexandrov) would...
Courant, Carl Runge, and Emmy Noether were working. While there he met PavelAlexandrov and began a lifelong friendship. In 1926 Hopf moved back to Berlin...
intersections between the sets in the family. It was introduced by PavelAlexandrov and now has many variants and generalisations, among them the Čech...
Pavel Alexandrovich Alexandrov (Russian: Павел Александрович Александров, 1866 - September 24, 1940) was a distinguished lawyer and state official of the...
Alexander in 1915, and subsequently further developed, particularly by PavelAlexandrov and Lev Pontryagin. It applies to the homology theory properties of...
visited the University of Göttingen, where topologists such as Pavel Sergeevich Alexandrov and Heinz Hopf were working. In 1930 he received his doctorate...
a link to classic combinatorial topology, appeared in the book of PavelAlexandrov and Heinz Hopf, Topologie I (1935). Rosenfeld et al. proposed digital...
Vasilyevich Morozov in 1830. the oldest monument to Vladimir Lenin (1924) PavelAlexandrov (1896–1982), mathematician Grigory Fedotov (1916–1957), association...
doctorate from the Moscow State University in 1936 under the direction of PavelAlexandrov. In 1937 he became a professor there, and from 1949 until his death...
CAT(k) space and Alexandrov's uniqueness theorem in geometry PavelAlexandrov, author of the Alexandroff compactification and the Alexandrov topology Dmitri...
Leila Abashidze, actor and writer Alisa Aksyonova, museum director PavelAlexandrov, mathematician Araxie Babayan, chemist Fyokla Bezzubova, folklore writer...
of Mathematics or contributed to The Scottish Book: P. Alexandroff (PavelAlexandrov?) Herman Auerbach (murdered in Bełżec extermination camp) A.F. Fermant...
University, where he became a student of PavelAlexandrov. At the end of his first year, Arhangelskii told Alexandrov that he wanted to specialize in topology...
at the department. The education lasts 5 years (6 years from 2011). PavelAlexandrov - mathematician Vladimir Arnold - mathematician Grigory Barenblatt...
CAT(k) space and Alexandrov's uniqueness theorem in geometry PavelAlexandrov, author of the Alexandroff compactification and the Alexandrov topology Dmitri...
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