Has anyone read this book? I can't figure out the meaning of the term "constants ( Read more... )

Pardon the format--I've never really done this before and I've not ever touched LaTeX.

1)  Let A,B be subsets of a metric space S such that B is open and cl(A) ^ B is nonempty, with ^ being the intersect, and cl(A) is the closure of A.  Show that A ^ B is nonempty.

2)  Let A,B be subsets of a metric space S.  Show that A is open if and only if cl(A ( Read more... )