- Lusin set
- Математика: множество Лузина
Универсальный англо-русский словарь. Академик.ру. 2011.
Lusin set
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Lusin's theorem — In mathematics, Lusin s theorem (more properly Luzin s theorem, named for Nikolai Luzin) in real analysis is a form of Littlewood s second principle.It states that every measurable function is a continuous function on nearly all its domain: For… … Wikipedia
Lusin space — In mathematics, a Lusin space or Luzin space, named for N. N. Luzin, may mean: *A Lusin space in measure theory and probability, the image of a Polish space under a bijective continuous map. (Some authors add the condition that it should be… … Wikipedia
Luzin set — In real analysis and descriptive set theory, a Luzin set (or Lusin set), named for N. N. Luzin, is an uncountable subset A of the reals such that every uncountable subset of A is nonmeager; that is, of second Baire category. Equivalently, A is an … 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
Borel set — In mathematics, a Borel set is any set in a topological space that can be formed from open sets (or, equivalently, from closed sets) through the operations of countable union, countable intersection, and relative complement. Borel sets are named… … Wikipedia
Non-Borel set — In mathematics, a non Borel set is a set that cannot be obtained from simple sets by taking complements and at most countable unions and intersections. (For the definition see Borel set.) Only sets of real numbers are considered in this article.… … Wikipedia
Polish space — In mathematics, a Polish space is a separable completely metrizable topological space; that is, a space homeomorphic to a complete metric space that has a countable dense subset. Polish spaces are so named because they were first extensively… … Wikipedia
Nikolai Luzin — Born 9 December 1883(1883 12 09) Irkutsk, Russian Empire … Wikipedia
List of mathematics articles (L) — NOTOC L L (complexity) L BFGS L² cohomology L function L game L notation L system L theory L Analyse des Infiniment Petits pour l Intelligence des Lignes Courbes L Hôpital s rule L(R) La Géométrie Labeled graph Labelled enumeration theorem Lack… … Wikipedia
Лузин, Николай — Николай Николаевич Лузин Дата рождения: 9 декабря 1883 Место рождения: Иркутск, Иркутская губерния, Российская империя Дата смерти: 28 февраля 1950 Место смерти: Москва, РСФСР … Википедия
Лузин Н. — Николай Николаевич Лузин Дата рождения: 9 декабря 1883 Место рождения: Иркутск, Иркутская губерния, Российская империя Дата смерти: 28 февраля 1950 Место смерти: Москва, РСФСР … Википедия
