Some fixed-point theory for posets and an elementary, ordinal-free proof of Zorn's lemma | Department of Mathematics

Some fixed-point theory for posets and an elementary, ordinal-free proof of Zorn's lemma

Event Information
Event Location: 
GAB 473
Event Date: 
Wednesday, September 2, 2015 - 3:30pm

We will discuss a few fixed-point theorems for monotone functions on complete partial orders. One variation we will prove provides a derivation of Zorn's lemma from the Axiom of Choice as a quick corollary. This talk involves very little set theory and is intended to be easily accessible to a general audience.