Total Orders
Channel: Jason Aubrey
Date: 23/10/2015

Here we discuss the basics of total orders. We define total orders, lower and upper bounds, minimums and maximums, infimums and supremums.  We prove that if a set with a total order is complete, then every nonempty set which is bounded above has a supremum. We follow the presentation in Dan Madden's notes for Math 323 at the University of Arizona.