OK. I'm still refining this problem. The problem now is to describe a maximal uncountable antichain of subsets of Z, where no component set is either finite or counter-finite (i.e., Z-S must not be finite). And yes, I chose the word describe deliberately; the existence of such a set is easy to establish. -----Original Message----- From: dasimov@earthlink.net
... --Dan
P.S. Here's an old cardinality puzzle in the same vein: What's the largest size of a collection of subsets of Z such that any two of them intersect in a finite set? << Another nice problem. It is in fact C once again. This time you want Cauchy sequences. ___________________________________________________ Try the New Netscape Mail Today! Virtually Spam-Free | More Storage | Import Your Contact List http://mail.netscape.com