Homogeneous (large cardinal property)

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In the context of a large cardinal property, a subset, S, of D is homogeneous for a function f means that for some natural number n, Dⁿ is the domain of f and for some element r of the range of f, every member of Sⁿ is mapped to r. That is, f is constant on the n-tuples of elements of S.

[edit] See also

• Ramsey's theorem