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Suslin Problem
Suslin or Souslin (Russian: Суслин) is a Russian masculine surname; its feminine counterpart is Suslina or Souslina. It may refer to: *Alexander Suslin (died 1349), German Orthodox rabbi and Talmudist *Andrei Suslin (1950–2018), Russian mathematician known for **Suslin homology **Quillen–Suslin theorem *Galina Yermolayeva (rower) (née Suslina in 1948), Russian rower *Inna Suslina (born 1979), Russian team handball player *Lyudmila Suslina (born 1946), Russian figure skater *Mikhail Suslin (1894–1919), Russian mathematician known for **Suslin algebra ** Suslin cardinal, a transfinite cardinal number at which one obtains new Suslin sets **Suslin operation **Suslin's problem ** Suslin representation, a set of real numbers built up in a certain way *Sergey Suslin (1944–1989), Soviet judoka and sambo competitor *Viktor Suslin (1942–2012), Russian composer *Viktor Suslin (rower) (born 1944), Russian Olympic rower *Yury Suslin (born 1935), Russian Olympic rower, brother of ...
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Alexander Suslin
Alexander Suslin (or Alexander Süsslein) HaKohen (died 1349) was a prominent 14th century rishonim, rabbinic authority born in Erfurt, Germany, and one of the most important Talmudists of his time. He was rabbi first in Cologne and Worms, Germany, Worms, and then moved to Frankfort-on-the-Main. He authored ''Sefer HaAguddah'' (ספר האגודה, "Book of the Collection"), a halakha, halakhic work (structured by the order of the Talmud's tractates) which was highly regarded by later rabbinic authorities. He was killed in the Erfurt massacre (1349), Erfurt massacre of 1349 during the Black Death era Antisemitism#Persecutions during the Middle Ages, massacres of hundreds of Jewish communities throughout Europe. ''Aguddah'' Suslin authored the book ''Aguddah'' (אגודה "Collection"). In concise fashion it enumerates the most important legal decisions, based on Talmudic law, made by preceding rabbinical authorities. Its purpose is to render such decisions accessible for guidance ...
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Suslin Operation
In mathematics, the Suslin operation 𝓐 is an operation that constructs a set from a collection of sets indexed by finite sequences of positive integers. The Suslin operation was introduced by and . In Russia it is sometimes called the A-operation after Alexandrov. It is usually denoted by the symbol 𝓐 (a calligraphic capital letter A). Definitions A Suslin scheme is a family P = \ of subsets of a set X indexed by finite sequences of non-negative integers. The Suslin operation applied to this scheme produces the set :\mathcal A P = \bigcup_ \bigcap_ P_ Alternatively, suppose we have a Suslin scheme, in other words a function M from finite sequences of positive integers n_1,\dots, n_k to sets M_. The result of the Suslin operation is the set : \mathcal A(M) = \bigcup \left(M_ \cap M_ \cap M_ \cap \dots \right) where the union is taken over all infinite sequences n_1,\dots, n_k, \dots If M is a family of subsets of a set X, then \mathcal A(M) is the family of subsets of X ...
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Yury Suslin
Yury Nikolaevich Suslin (; 19 May 1935 – 7 October 2020) was a retired Russian rower who specialised in the eights. In this event he won two silver medals at the European championships of 1963–1964Rudern – Europameisterschaften (Herren – Achter)
at ''sport-komplett.de''
and finished fifth at the
1964 Summer Olympics The , officially the and commonly known as Tokyo 1964 (), were an international multi-sport event held from 10 to 24 October 1964 in Tokyo, Japan. Tokyo had been awarded the organization of the 1940 Summer Olympics, but this honor was subseq ...
.
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Viktor Suslin (rower)
Viktor Nikolaevich Suslin (; born 19 July 1944) is a retired Russian rower who specialized in the eights. In this event he won bronze medals at the 1968 Summer Olympics and 1967 European Championships and a silver at the 1966 World Rowing Championships. His elder brother Yury Jury, Jurij, Iurii, Iouri, Yury, Yuri, Youri, Yurii, Yuriy or Yurij is the Slavic (, or , or , or ) form of the masculine given name George; it is derived directly from the Greek form Georgios and related to Polish Jerzy, Czech Jiří, and Slo ... is also a retired Olympic rower. References External links * 1944 births Living people Soviet male rowers Olympic rowers for the Soviet Union Rowers at the 1968 Summer Olympics Olympic bronze medalists for the Soviet Union Olympic medalists in rowing Medalists at the 1968 Summer Olympics World Rowing Championships medalists for the Soviet Union European Rowing Championships medalists {{USSR-rowing-Olympic-medalist-stub ...
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Viktor Suslin
Viktor Yevseyevich Suslin (; 13 June 1942 – 10 July 2012) was a Russian composer. An associate of Sofia Gubaidulina's, together with her and Vyacheslav Artyomov he formed the improvisatory ensemble 'Astraea' in 1975. He emigrated to Germany in 1981. Biography At the age of four (1946) Suslin began to study piano and made his first attempts at composition. From 1950 to 1961 he attended Kharkiv Music High School, and from 1961 to 1962 the Kharkiv Conservatory where he studied composition with Dimitri Klebanov and piano with V. Topilin. From 1962 to 1966 he studied composition with Nikolay Peyko and piano with Anatoly Vedernikov at the Gnessin Institute in Moscow. He worked as an editor at the publishing house ''Muzyka'' in Moscow (1966–1980). Suslin became a member of the Union of Soviet Composers in 1967. In 1969 his piano sonata was given an award at the Young Composers Competition. In 1971 his music was performed outside of Russia for the first time at the Festival ...
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Sergey Suslin
Sergey Suslin (9 November 1944 – 1989) was a Soviet judoka and sambist. He competed in the men's lightweight event at the 1972 Summer Olympics. Criminal activity and conviction Since 1977, he worked as stuntman at the Lenfilm studio, playing minor roles in several Soviet action film. While there, together with other athletes who were employed as stuntmen at the Lenfilm, he took part in robberies and other criminal acts. In 1981, he was arrested and sentenced to 9 years in prison for the murder of his wife. He was released in 1989. He died the same year in Moscow after suffering a heart attack. According to , a USSR Master of Sports in sambo, the future President of Russia Vladimir Putin and his childhood friend Arkady Rotenberg were associates with the gang of Suslin and Vyacheslav Ivankov in the early 1970s. Suslin's case in the archives is still classified. Nowadays, a memorial judo sports tournament is being held in his honor.Dmitry Volchek"Putin was an arrogant y ...
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Suslin Representation
In mathematics, a Suslin representation of a set of reals (more precisely, elements of Baire space) is a tree whose projection is that set of reals. More generally, a subset ''A'' of ''κ''ω is ''λ''-Suslin if there is a tree ''T'' on ''κ'' × ''λ'' such that ''A'' = p 'T'' By a tree on ''κ'' × ''λ'' we mean a subset ''T'' ⊆ ⋃''n''<ω(''κ''''n'' × ''λ''''n'') closed under initial segments, and p 'T''= is the projection of ''T'', where 'T''= is the set of es through ''T''. Since 'T''is a closed set for the



Suslin's Problem
In mathematics, Suslin's problem is a question about totally ordered sets posed by and published posthumously. It has been shown to be independent of the standard axiomatic system of set theory known as ZFC; showed that the statement can neither be proven nor disproven from those axioms, assuming ZF is consistent. (Suslin is also sometimes written with the French transliteration as , from the Cyrillic .) Formulation Suslin's problem asks: Given a non-empty totally ordered set ''R'' with the four properties # ''R'' does not have a least nor a greatest element; # the order on ''R'' is dense (between any two distinct elements there is another); # the order on ''R'' is complete, in the sense that every non-empty bounded subset has a supremum and an infimum; and # every collection of mutually disjoint non-empty open intervals in ''R'' is countable (this is the countable chain condition for the order topology of ''R''), is ''R'' necessarily order-isomorphic to the real l ...
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Suslin Cardinal
In mathematics, a cardinal λ < Θ is a Suslin cardinal if there exists a set P ⊂ 2ω such that P is λ-Suslin but P is not λ'-Suslin for any λ' < λ. It is named after the n Mikhail Yakovlevich Suslin (1894–1919).


See also

*

Andrei Suslin
Andrei Suslin (, sometimes transliterated Souslin) was a Russian mathematician who contributed to algebraic K-theory and its connections with algebraic geometry. He was a Trustee Chair and Professor of mathematics at Northwestern University. He was born on 27 December 1950 in St. Petersburg, Russia. As a youth, he was an "all Leningrad" gymnast. He received his PhD from Leningrad University in 1974; his thesis was titled ''Projective modules over polynomial rings''. In 1976 he and Daniel Quillen independently proved Serre's conjecture about the triviality of algebraic vector bundles on affine space. In 1982 he and Alexander Merkurjev proved the Merkurjev–Suslin theorem on the norm residue homomorphism in Milnor K2-theory, with applications to the Brauer group. Suslin was an invited speaker at the International Congress of Mathematicians in 1978 and 1994, and he gave a plenary invited address at the Congress in 1986. He was awarded the Frank Nelson Cole Prize in Alg ...
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Suslin Algebra
In mathematics, a Suslin algebra is a Boolean algebra that is complete, atomless, countably distributive, and satisfies the countable chain condition. They are named after Mikhail Yakovlevich Suslin. The existence of Suslin algebras is independent of the axioms of ZFC, and is equivalent to the existence of Suslin trees or Suslin lines. See also * Andrei Suslin Andrei Suslin (, sometimes transliterated Souslin) was a Russian mathematician who contributed to algebraic K-theory and its connections with algebraic geometry. He was a Trustee Chair and Professor of mathematics at Northwestern University. He ... References Boolean algebra Forcing (mathematics) Independence results {{algebra-stub ...
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Mikhail Suslin
Mikhail Yakovlevich Suslin (; November 15, 1894 – 21 October 1919, Krasavka) (sometimes transliterated Souslin) was a Russian mathematician who made major contributions to the fields of general topology and descriptive set theory. Biography Mikhail Suslin was born on November 15, 1894, in the village of Krasavka, the only child of poor peasants Yakov Gavrilovich and Matrena Vasil'evna Suslin. From a young age, Suslin showed a keen interest in mathematics and was encouraged to continue his education by his primary school teacher, Vera Andreevna Teplogorskaya-Smirnova. From 1905 to 1913 he attended Balashov boys' grammar school. In 1913, Suslin enrolled at the Imperial Moscow University and studied under the tutelage of Nikolai Luzin. He graduated with a degree in mathematics in 1917 and immediately began working at the Ivanovo-Voznesensk Polytechnic Institute. Suslin died of typhus in the 1919 Moscow epidemic following the Russian Civil War, at the age of 24. Work His n ...
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