-1
$\begingroup$

How could I start proving this:

Let $n \geq 2$. Does the set $\mathbb{Z^n}$ under dictionary order satisfy the greatest lower bound property? If so, prove it. If not, provide (and prove) a counterexample.

  • 3
    Before I write anything, which way do you think it will go? Yes, or no?2012-10-10
  • 0
    You should also explain what precise property you're talking about.2012-10-10

1 Answers 1