Paul
Posts:
393
Registered:
7/12/10


Why don't texts give a stronger version of Zorn's lemma?
Posted:
Nov 19, 2013 6:52 PM


Why isn't the standard version of Zorn's lemma as follows? : Let X be a partially ordered set such that every wellordered subset has an upper bound. Then X has a maximal element.
It's stronger than the standard one, and no more difficult to prove from AC.
Paul Epstein

