Английская Википедия:Homogeneous (large cardinal property)
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Шаблон:Unref In set theory and in the context of a large cardinal property, a subset, S, of D is homogeneous for a function f if f is constant in finite subsets of S. More precisely, given a set D, let <math>\mathcal{P}_{<\omega}(D)</math> be the set of all finite subsets of D (see Шаблон:Slink) and let <math>f: \mathcal{P}_{<\omega}(D) \to B</math> be a function defined in this set. On these conditions, S is homogeneous for f if, for every natural number n, f is constant in the set <math>\mathcal{P}_{=n}(S)</math>. That is, f is constant on the unordered n-tuples of elements of S.Шаблон:Needs citations
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