9 Mar
2006
9 Mar
'06
10:41 a.m.
Here's a related problem. Can you describe a *maximal* uncountable antichain? More difficult: describe an (uncountable) maximal antichain where every set is infinite. (I don't know the answer to this second question. It might be: no, no such description is possible.) Franklin T. Adams-Watters
The answer is C, the order of the continuum.
Right. Next: what's the largest a *chain* can be?
Obviously aleph-nought. At least one integer must be added at each step. ___________________________________________________ Try the New Netscape Mail Today! Virtually Spam-Free | More Storage | Import Your Contact List http://mail.netscape.com