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Homogeneous (large cardinal property) : ウィキペディア英語版
Homogeneous (large cardinal property)
In set theory and in the context of a large cardinal property, a subset, ''S'', of ''D'' is homogeneous for a function ''f'' if for some natural number ''n'', \mathcal_(D) (see Powerset#Subsets of limited cardinality) is the domain of ''f'' and for some element ''r'' of the range of ''f'', every member of \mathcal_(S) is mapped to ''r''. That is, ''f'' is constant on the unordered ''n''-tuples of elements of ''S''.
==See also==

*Ramsey's theorem

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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