If we consider the unit square (i.e $[0,1] \times [0,1]$) with the lexicographic order induced by ${\mathbb{R}}^{2}$, what are the limit points of the unit square?
My answer is: the set of limit points is equal to:
$ [0,1]^{2} \setminus ((0,1) \times \{1\}))$.
Is my answer correct? If not, how do you find them? I get confused with this topology.