Homogeneous (large cardinal property)

Homogeneous (large cardinal property)

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", "D"n is the domain of "f" and for some element "r" of the range of "f", every member of "S"n is mapped to "r". That is, "f" is constant on the "n"-tuples of elements of "S".

ee also

*Ramsey's theorem


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