Symbols:O/Order Type
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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}
.
Sources
- 1996: Winfried Just and Martin Weese: Discovering Modern Set Theory. I: The Basics ... (previous) ... (next): Part $1$: Not Entirely Naive Set Theory: Chapter $2$: Partial Order Relations