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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'', (see Powerset#Subsets of limited cardinality) is the domain of ''f'' and for some element ''r'' of the range of ''f'', every member of is mapped to ''r''. That is, ''f'' is constant on the unordered ''n''-tuples of elements of ''S''. ==See also==
*Ramsey's theorem
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