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・ Strong measure zero set
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・ Strong monad
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・ Strong Notrump After Passing (SNAP)
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Strong partition cardinal
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Strong partition cardinal : ウィキペディア英語版
Strong partition cardinal
In Zermelo-Fraenkel set theory without the axiom of choice a strong partition cardinal is an uncountable well-ordered cardinal k such that every partition of the set ()^kof size k subsets of k into less than k pieces has a homogeneous set of size k.
The existence of strong partition cardinals contradicts the axiom of choice. The Axiom of determinacy implies that ℵ1 is a strong partition cardinal.
==References==

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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