Recent content by Matherer

Homework Statement (1 2 3 4 5 6 7) (1 2 5 4 3 6 7) is s, a permuation. Find sgn(s). Homework Equations The sgn of a transposition is -1. Sgn(s)=Product of [sgn(j)-sgn(i)]/(j-i) when 1<=i<j<=n The Attempt at a Solution I calculated the sgn(s) using the formula and got 1. But...

I am trying to understand the following theorem: An ordered field has the least upper bound property iff it has the greatest lower bound property. Before I try going through the proof, I have to understand the porblem. The problem is, I don't see why this would be true in the first...