On lambda-prime-sets Arnold W. Miller Abstract A subset X of the Cantor space, 2^\omega, is a lambda-prime-set iff for every countable subset Y of the Cantor space Y is relatively G-delta in X union Y. In this paper we prove two forcing results about lambda-prime-sets. First we show that it is consistent that every lambda-prime-set is a gamma-set. Secondly we show that is independent whether or not every dagger-lambda-set is a lambda-prime-set. LaTex2e 12 pages http://www.math.wisc.edu/~miller/res/index.html see lambda for tex, dvi, pdf, ps versions