# Symbols:O/Order Type

## Order Type

$\ot$

Let $\struct {S, \preccurlyeq_1}$ and $\struct {T, \preccurlyeq_2}$ be ordered sets.

Then $S$ and $T$ have the same (order) type if and only if they are order isomorphic.

The order type of an ordered set $\struct {S, \preccurlyeq}$ can be denoted $\map \ot {S, \preccurlyeq}$.

The $\LaTeX$ code for $\map \ot {S, \preccurlyeq}$ is \map \ot {S, \preccurlyeq} .