Pavel Sergeevich Alexandrov
   HOME





Pavel Sergeevich Alexandrov
Pavel Sergeyevich Alexandrov (), 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. Biography Alexandrov attended Moscow State University where he was a student of Dmitri Egorov and Nikolai Luzin. Together with Pavel Urysohn, he visited the University of Göttingen in 1923 and 1924. After getting his Ph.D. in 1927, he continued to work at Moscow State University and also joined the Steklov Institute of Mathematics. He was made a member of the Russian Academy of Sciences in 1953. Personal life Luzin challenged Alexandrov to determine if the continuum hypothesis is true. This still unsolved problem was too much for Alexandrov and he had a creative crisis at the end of 1917. The failure was a heavy blow for Alexandrov: "It became clear ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Noginsk
Noginsk (), known as Bogorodsk () until 1930, is a Classification of inhabited localities in Russia, city and the administrative center of Noginsky District, Bogorodsky District in Moscow Oblast, Russia, located east of the Moscow Ring Road on the Klyazma River. Population: History Founded in 1389 as Rogozhi, the town was later renamed to Rogozha by 1506, and to Bogorodsk (lit. ''[a town] of the Theotokos, Mother of God'') by a Catherine the Great's decree in 1781, when it was granted town status. Throughout the 19th century and for a good part of the 20th century, the town was a major textile center, processing cotton, silk, and wool. In 1930, the town was renamed Noginsk after Bolsheviks, Bolshevik Viktor Nogin. On 5 June 2018, Noginsk became the administrative centre of a new municipality, Bogorodsky District, established within the abolished Noginsky District. Administrative and municipal status Within the subdivisions of Russia#Administrative divisions, framework of adm ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Alexandroff Compactification
In the mathematical field of topology, the Alexandroff extension is a way to extend a noncompact topological space by adjoining a single point in such a way that the resulting space is compact. It is named after the Russian mathematician Pavel Alexandroff. More precisely, let ''X'' be a topological space. Then the Alexandroff extension of ''X'' is a certain compact space ''X''* together with an open embedding ''c'' : ''X'' → ''X''* such that the complement of ''X'' in ''X''* consists of a single point, typically denoted ∞. The map ''c'' is a Hausdorff compactification if and only if ''X'' is a locally compact, noncompact Hausdorff space. For such spaces the Alexandroff extension is called the one-point compactification or Alexandroff compactification. The advantages of the Alexandroff compactification lie in its simple, often geometrically meaningful structure and the fact that it is in a precise sense minimal among all compactifications; the disadvanta ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


CWI Quarterly
CWI may refer to: Organizations and institutions * Care for the Wild International *Centrum Wiskunde & Informatica, Amsterdam, the Netherlands *Certified Welding Inspector, American Welding Society * Children's Welfare Institute, Shanghai, China * Christian Witness to Israel * Civil War Institute at Gettysburg College *College of Western Idaho, a new Community College in Nampa, Idaho *Committee for a Workers' International (1974), an international socialist organisation which split in 2019 into the Committee for a Workers' International (2019) and International Socialist Alternative *Communist Workers' International *Cricket West Indies, the governing body for cricket in the Caribbean Other uses *Chicago and Western Indiana Railroad *" Civil War: The Initiative", a comic book crossover storyline * Cloverway Inc., a Japanese Animation dubbing company in the United States *CWI (encoding), a Hungarian character set in the 1980s *The Cold War, on the grounds of a second The second ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Harvard University Press
Harvard University Press (HUP) is an academic publishing house established on January 13, 1913, as a division of Harvard University. It is a member of the Association of University Presses. Its director since 2017 is George Andreou. The press maintains offices in Cambridge, Massachusetts, near Harvard Square, and in London, England. The press co-founded the distributor TriLiteral LLC with MIT Press and Yale University Press. TriLiteral was sold to LSC Communications in 2018. Notable authors published by HUP include Eudora Welty, Walter Benjamin, E. O. Wilson, John Rawls, Emily Dickinson, Stephen Jay Gould, Helen Vendler, Carol Gilligan, Amartya Sen, David Blight, Martha Nussbaum, and Thomas Piketty. The Display Room in Harvard Square, dedicated to selling HUP publications, closed on June 17, 2009. Related publishers, imprints, and series HUP owns the Belknap Press imprint (trade name), imprint, which it inaugurated in May 1954 with the publication of the ''Harvard Guide to ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Andrey Kolmogorov
Andrey Nikolaevich Kolmogorov ( rus, Андре́й Никола́евич Колмого́ров, p=ɐnˈdrʲej nʲɪkɐˈlajɪvʲɪtɕ kəlmɐˈɡorəf, a=Ru-Andrey Nikolaevich Kolmogorov.ogg, 25 April 1903 – 20 October 1987) was a Soviet mathematician who played a central role in the creation of modern probability theory. He also contributed to the mathematics of topology, intuitionistic logic, turbulence, classical mechanics, algorithmic information theory and Analysis of algorithms, computational complexity. Biography Early life Andrey Kolmogorov was born in Tambov, about 500 kilometers southeast of Moscow, in 1903. His unmarried mother, Maria Yakovlevna Kolmogorova, died giving birth to him. Andrey was raised by two of his aunts in Tunoshna (near Yaroslavl) at the estate of his grandfather, a well-to-do Russian nobility, nobleman. Little is known about Andrey's father. He was supposedly named Nikolai Matveyevich Katayev and had been an Agronomy, agronomist. Katayev ha ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Batz-sur-Mer
Batz-sur-Mer (, literally ''Batz on Sea''; Gallo language, Gallo: ''Borg-de-Baz'', ) is a Communes of France, commune in the Loire-Atlantique Departments of France, department in western France. The commune is situated on a former island, which until around the 9th century was separate from the mainland at Guérande and the neighbouring island of Le Croisic. The territory of the commune is now part of the wild coast of the Guérande Peninsula with rocky cliffs, sandy beaches along the Atlantic Ocean and extensive salt marshes to the northeast and east. The town lies between the Bay of Biscay and its salt marshes and is a very Brittany, Breton town of whitewashed granite houses.Arthur Eperon, ''The Loire Valley'' (1989), p. 195 History In 945 Alan II, Duke of Brittany, founded a priory in Batz-sur-Mer, dedicated to Winwaloe, St Winwaloe. Its Order of Saint Benedict, Benedictine monks developed the local economy and apart from religion they devoted themselves to agriculture and t ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Atlantic Ocean
The Atlantic Ocean is the second largest of the world's five borders of the oceans, oceanic divisions, with an area of about . It covers approximately 17% of Earth#Surface, Earth's surface and about 24% of its water surface area. During the Age of Discovery, it was known for separating the New World of the Americas (North America and South America) from the Old World of Afro-Eurasia (Africa, Asia, and Europe). Through its separation of Afro-Eurasia from the Americas, the Atlantic Ocean has played a central role in the development of human society, globalization, and the histories of many nations. While the Norse colonization of North America, Norse were the first known humans to cross the Atlantic, it was the expedition of Christopher Columbus in 1492 that proved to be the most consequential. Columbus's expedition ushered in an Age of Discovery, age of exploration and colonization of the Americas by European powers, most notably Portuguese Empire, Portugal, Spanish Empire, Sp ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Gay Men
Gay men are male homosexuals. Some bisexual men, bisexual and homoromantic men may dually identify as ''gay'' and a number of gay men also identify as ''queer''. Historic terminology for gay men has included ''Sexual inversion (sexology), inverts'' and ''Uranian (sexology), uranians''. Gay men continue to face significant Discrimination against gay men, discrimination in LGBT rights by country or territory, large parts of the world, particularly in most of LGBT rights in Asia, Asia and LGBT rights in Africa, Africa. In the LGBT rights in the United States, United States and the western world, many gay men still experience discrimination in their daily lives, though some openly gay men have reached national success and prominence, including Apple Inc., Apple CEO Tim Cook and heads of state or government such as Edgars Rinkēvičs (president of Latvia since 2023). The word ''gay'' is recommended by LGBTQ groups and style guides to describe all people exclusively attracted to m ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Lysenkoism
Lysenkoism ( ; ) was a political campaign led by the Soviet biologist Trofim Lysenko against genetics and science-based agriculture in the mid-20th century, rejecting natural selection in favour of a form of Lamarckism, as well as expanding upon the techniques of vernalization and grafting. More than 3,000 mainstream biologists were dismissed or imprisoned, and numerous scientists were executed in the Soviet campaign to Suppressed research in the Soviet Union, suppress scientific opponents. The president of the Soviet Agriculture Academy, Nikolai Vavilov, who had been Lysenko's mentor, but later denounced him, was sent to prison and died there, while Soviet genetics research was effectively destroyed. Research and teaching in the fields of neurophysiology, cell biology, and many other biological disciplines were harmed or banned. The government of the Soviet Union (USSR) supported the campaign, and Joseph Stalin personally edited a speech by Lysenko in a way that reflected his s ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  




Continuum Hypothesis
In mathematics, specifically set theory, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states: Or equivalently: In Zermelo–Fraenkel set theory with the axiom of choice (ZFC), this is equivalent to the following equation in aleph numbers: 2^=\aleph_1, or even shorter with beth numbers: \beth_1 = \aleph_1. The continuum hypothesis was advanced by Georg Cantor in 1878, and establishing its truth or falsehood is the first of Hilbert's 23 problems presented in 1900. The answer to this problem is independent of ZFC, so that either the continuum hypothesis or its negation can be added as an axiom to ZFC set theory, with the resulting theory being consistent if and only if ZFC is consistent. This independence was proved in 1963 by Paul Cohen, complementing earlier work by Kurt Gödel in 1940. The name of the hypothesis comes from the term '' continuum'' for the real numbers. History Cantor believed the continuum ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Russian Academy Of Sciences
The Russian Academy of Sciences (RAS; ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across the Russian Federation; and additional scientific and social units such as libraries, publishing units, and hospitals. Peter the Great established the academy (then the St. Petersburg Academy of Sciences) in 1724 with guidance from Gottfried Wilhelm Leibniz, Gottfried Leibniz. From its establishment, the academy benefitted from a slate of foreign scholars as professors; the academy then gained its first clear set of goals from the 1747 Charter. The academy functioned as a university and research center throughout the mid-18th century until the university was dissolved, leaving research as the main pillar of the institution. The rest of the 18th century continuing on through the 19th century consisted of many published academic works from Academy scholars and a few Academy name changes, ending as The Imperial ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Steklov Institute Of Mathematics
Steklov Institute of Mathematics or Steklov Mathematical Institute () is a premier research institute based in Moscow, specialized in mathematics, and a part of the Russian Academy of Sciences. The institute is named after Vladimir Andreevich Steklov, who in 1919 founded the Institute of Physics and Mathematics in Saint Petersburg, Leningrad. In 1934, this institute was split into separate parts for physics and mathematics, and the mathematical part became the Steklov Institute. At the same time, it was moved to Moscow. The first director of the Steklov Institute was Ivan Matveyevich Vinogradov. From 19611964, the institute's director was the notable mathematician Sergei Chernikov. The old building of the Institute in Leningrad became its Department in Leningrad. Today, that department has become a separate institute, called the ''St. Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences'' or PDMI RAS, located in Saint Petersburg, Russia. The n ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]