Definition:Unique up to Isomorphism
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Definition
Let $\mathbf C$ be a category.
Let $S \subseteq \map {\operatorname {Ob} } {\mathbf C}$ be a subclass of its objects.
The class $S$ is unique up to isomorphism if and only if for all objects $s, t \in S$ there is a isomorphism from $s$ to $t$.
Also see
Stronger properties
- Definition:Unique up to Unique Morphism, as shown at Unique up to Unique Morphism implies Unique up to Unique Isomorphism
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