Homogeneous (large cardinal property)
Encyclopedia
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.
Large cardinal property
In the mathematical field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers. Cardinals with such properties are, as the name suggests, generally very "large"...
, 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.