G-delta sets in Stone-Cech remainder of the integers

We discuss one more basic fact of , the Stone-Cech compactification of the countable discrete space . We show that any non-empty -subset of the remainder has non-empty interior. We then make a brief comment on P-points of . In this discussion, we continue to treat as the space of ultrafilters on with the Stone topology (see here for an introduction). This article is part of a series of articles on Stone-Cech compactifications. See below for links to the other articles. Some Needed Notations We..