Suslin set

Suslin set
Математика: суслинское множество

Универсальный англо-русский словарь. . 2011.

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  • Suslin set — The concept of a Suslin set was first used by Mikhail Yakovlevich Suslin when he was researching the properties of projections of Borel sets in R^2 onto the real axis. Lebesgue believed he had proved that such a projection was also a Borel set,… …   Wikipedia

  • Homogeneously Suslin set — In descriptive set theory, a set S is said to be homogeneously Suslin if it is the projection of a homogeneous tree. S is said to be kappa homogeneously Suslin if it is the projection of a kappa homogeneous tree.If Asubseteq{}^omegaomega is a… …   Wikipedia

  • Suslin — is a surname, and may refer to: * Mikhail Yakovlevich Suslin (1894–1919), Russian mathematician who worked in topology and descriptive set theory * Andrei Suslin (born 1950), mathematician who works in algebraic K theory and algebraic… …   Wikipedia

  • Suslin's problem — In mathematics, Suslin s problem is a question about totally ordered sets posed by Mikhail Yakovlevich Suslin in the early 1920s. [cite journal title=Problème 3 last= Souslin first=M. journal=Fundamenta Mathematicae volume=1 date=1920 pages=223]… …   Wikipedia

  • Suslin tree — In mathematics, a Suslin tree is a tree of height omega;1 such that every branch and every antichain is at most countable. (An antichain is a set of elements such that any two are incomparable.)Every Suslin tree is an Aronszajn tree.The existence …   Wikipedia

  • Suslin-Hypothese — In der Mengenlehre postuliert die Suslin Hypothese (benannt nach dem russischen Mathematiker Michail Jakowlewitsch Suslin) eine spezielle Charakterisierung der Menge der reellen Zahlen. Sie ist in dem üblichen System der Zermelo Fraenkel… …   Deutsch Wikipedia

  • 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 Russian mathematician Mikhail Yakovlevich Suslin (1894–1919).ee also*Suslin line …   Wikipedia

  • Analytic set — This article is about analytic sets as defined in descriptive set theory. There is another notion in the context of analytic varieties. In descriptive set theory, a subset of a Polish space X is an analytic set if it is a continuous image of a… …   Wikipedia

  • Mikhail Yakovlevich Suslin — (Russian: Михаил Яковлевич Суслин; Krasavka, Saratov Oblast, November 15, 1894 – 1919) (sometimes transliterated Souslin) was a Russian mathematician who made major contributions to the fields of general topology and descriptive set theory. His… …   Wikipedia

  • Tree (set theory) — In set theory, a tree is a partially ordered set (poset) ( T …   Wikipedia

  • Lambda-Suslin — In mathematics, a subset A of κω 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 here a subset T of the union of κ i × λ i for all i ∈ N (or i < ω in set theoretical notation).Here, p [ T ] = { f | ∃ g …   Wikipedia


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