Thank you very much for the tip, Theo. I will check that out.

GH - you're right. Thanks. I didn't read the FAQ - guess I should have. I was recommended this site by a friend, and he didn't inform me that this site was primarily for research level questions. I will keep that in mind from now on.

Oh, yeah. That's right! Ha ha. Thanks a lot :)

Thanks. But in this case, we only know the set is bounded, not compact.