Homogeneously Suslin set
In descriptive set theory, a set is said to be homogeneously Suslin if it is the projection of a homogeneous tree. is said to be -homogeneously Suslin if it is the projection of a -homogeneous tree. If is a set and is a measurable cardinal, then is -homogeneously Suslin. This result is important in the proof that the existence of a measurable cardinal implies that sets are determined. See also Projective determinacy References Descriptive set theory Determinacy