泛Loeb可测集的S-饱和性

S-saturation of universally Loeb-measurable sets

在 K-饱和的非标准模型中,研究了泛 Loeb 可测集 m(A),pns(~*X),cpt(~*X),fin(~*X),ns(~*X)的 S-饱和性.当 A 是紧致 Hausdorff 空间 X 的子集时,得到了 st^(-1)(A)是标准集的充分条件.

It is shown that in a k-saturated nonstandard modcl,each of the following universally Loeb-measurable sets is S-saturated:m(A),ns(X),pns(X),cpt(X),fin(X).When X is compact Hausdorff space and AX,a necessary and sufficient condition of st^(-1)(A) being a standard set is obtained.