Definition:Isomorphism Class (Ordered Structures)
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Definition
Let $\struct {S, \preccurlyeq}$ be an ordered structure.
Let $\map \II {S, \preccurlyeq}$ be the class of all ordered structures which are order isomorphic to $S$.
Then $\map \II {S, \preccurlyeq}$ is known as the isomorphism class of $\struct {S, \preccurlyeq}$.
Also see
- Results about order isomorphisms can be found here.