von Neumann universe ^Béarla (Q77887)

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in set theory, the collection of sets obtained by transfinite recursion using the powerset operation ^Béarla

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Language	Label	Description	Also known as
Gaeilge	No label defined	No description defined
Béarla	von Neumann universe	in set theory, the collection of sets obtained by transfinite recursion using the powerset operation	cumulative hierarchy von Neumann hierarchy of sets von Neumann hierarchy V

Statements

sampla de

proper class ^Béarla

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cumulative hierarchy ^Béarla

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ainmnithe in ómós

John von Neumann

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foirmle

${\displaystyle {\begin{aligned}V_{\alpha }&={\begin{cases}{\mathcal {P}}(V_{\beta })&\exists \beta \colon \alpha =\beta +1\\\bigcup _{\gamma <\alpha }V_{\gamma }&\nexists \beta \colon \alpha =\beta +1\end{cases}}\\V&=\bigcup _{\alpha \in \operatorname {Ord} }V_{\alpha }\end{aligned}}}$

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in defining formula ^Béarla

${\displaystyle V}$

symbol represents ^Béarla

von Neumann universe ^Béarla

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${\displaystyle \beta +1}$

symbol represents ^Béarla

successor ordinal ^Béarla

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${\displaystyle {\mathcal {P}}(-)}$

symbol represents ^Béarla

power set ^Béarla

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${\displaystyle \operatorname {Ord} }$

symbol represents ^Béarla

orduimhir

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á chothabháil ag WikiProject

WikiProject Mathematics ^Béarla

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deirtear gur ionann é seo agus

universal class ^Béarla

statement supported by ^Béarla

axiom of regularity ^Béarla

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Identifiers

Encyclopædia Britannica Online ID ^Béarla

topic/von-Neumann-universe

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von Neumann universe

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Freebase ID ^Béarla

/m/029dwt

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ráite i

Freebase Data Dumps ^Béarla

dáta foilsithe

28 Deireadh Fómhair 2013

 

Sitelinks

Vicipéid(12 entries)

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• cswiki Fundované jádro
• dewiki Von-Neumann-Hierarchie
• enwiki Von Neumann universe
• fawiki جهان فون نویمان
• frwiki Univers de von Neumann
• itwiki Gerarchia di Von Neumann
• jawiki フォン・ノイマン宇宙
• kowiki 폰 노이만 전체
• ptwiki Universo de von Neumann
• ruwiki Универсум фон Неймана
• ukwiki Універсум фон Неймана
• zhwiki 冯·诺伊曼全集

Wikibooks(0 entries)

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Wikiversity(0 entries)

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Wiktionary(0 entries)

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Suíomhanna eile(0 entries)

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