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strong cardinal : ウィキペディア英語版
strong cardinal
In set theory, a strong cardinal is a type of large cardinal. It is a weakening of the notion of a supercompact cardinal.
== Formal definition ==

If λ is any ordinal, κ is λ-strong means that κ is a cardinal number and there exists an elementary embedding ''j'' from the universe ''V'' into a transitive inner model ''M'' with critical point κ and
:V_\lambda\subseteq M
That is, ''M'' agrees with ''V'' on an initial segment. Then κ is strong means that it is λ-strong for all ordinals λ.

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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