| dbo:abstract |
In the mathematical field of descriptive set theory, a subset of a Polish space is an analytic set if it is a continuous image of a Polish space. These sets were first defined by and his student . (en) Analytische Mengen werden in den mathematischen Teilgebieten der Maßtheorie und der deskriptiven Mengenlehre betrachtet, es handelt sich um spezielle Teilmengen polnischer Räume. Sie sind allgemeiner als Borelmengen, haben aber noch gewisse Messbarkeitseigenschaften. (de) 집합론과 일반위상수학에서 해석적 집합(解析的集合, 영어: analytic set)은 폴란드 공간의 연속적 상인 폴란드 공간 부분 공간이다. (ko) 記述集合論において、ポーランド空間 の部分集合が 解析集合 であるとは、それがあるポーランド空間の連続像であることをいう。この概念を最初に定義したのはルジンとその指導下にあったススリンである。, (ja) Zbiory analityczne – podzbiory przestrzeni polskiej, które są ciągłymi obrazami zbiorów borelowskich. Dopełnienia zbiorów analitycznych to zbiory koanalityczne. Zbiory analityczne były wprowadzone w 1917 przez rosyjskiego matematyka Michała Suslina. (pl) |
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https://archive.org/details/classicaldescrip0000kech |
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dbr:Cartesian_product dbr:Borel_algebra dbr:Descriptive_set_theory dbr:Analytical_hierarchy dbr:Closed_set dbr:Empty_set dbr:Space_(mathematics) dbr:Suslin_operation dbc:Descriptive_set_theory dbr:Tree_(descriptive_set_theory) dbr:Gδ_set dbr:Projection_(measure_theory) dbr:Projective_hierarchy dbr:Baire_space_(set_theory) dbr:Coanalytic_set dbr:Borel_set dbr:Polish_space dbr:Cantor_space dbr:Perfect_set_property dbr:Property_of_Baire dbr:Lebesgue_measurable dbr:Universally_measurable dbr:Springer-Verlag dbr:Continuous_(mathematics) dbr:Suslin_set dbr:Suslin_space |
| dbp:first |
B.A. (en) A.G. (en) |
| dbp:id |
Analytic_set (en) l/l061080 (en) |
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Efimov (en) El'kin (en) |
| dbp:title |
Analytic set (en) Luzin separability principles (en) |
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dbc:Descriptive_set_theory |
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owl:Thing |
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In the mathematical field of descriptive set theory, a subset of a Polish space is an analytic set if it is a continuous image of a Polish space. These sets were first defined by and his student . (en) Analytische Mengen werden in den mathematischen Teilgebieten der Maßtheorie und der deskriptiven Mengenlehre betrachtet, es handelt sich um spezielle Teilmengen polnischer Räume. Sie sind allgemeiner als Borelmengen, haben aber noch gewisse Messbarkeitseigenschaften. (de) 집합론과 일반위상수학에서 해석적 집합(解析的集合, 영어: analytic set)은 폴란드 공간의 연속적 상인 폴란드 공간 부분 공간이다. (ko) 記述集合論において、ポーランド空間 の部分集合が 解析集合 であるとは、それがあるポーランド空間の連続像であることをいう。この概念を最初に定義したのはルジンとその指導下にあったススリンである。, (ja) Zbiory analityczne – podzbiory przestrzeni polskiej, które są ciągłymi obrazami zbiorów borelowskich. Dopełnienia zbiorów analitycznych to zbiory koanalityczne. Zbiory analityczne były wprowadzone w 1917 przez rosyjskiego matematyka Michała Suslina. (pl) |
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Analytic set (en) Analytische Menge (de) 해석적 집합 (ko) 解析集合 (ja) Zbiór analityczny (pl) |
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