Definition:Minimally Inductive Class under General Mapping/Definition 3

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Definition

Let $A$ be a class.

Let $g: A \to A$ be a mapping on $A$.


$A$ is minimally inductive under $g$ if and only if $A$ is minimally closed under $g$ with respect to $\O$.


Also see

  • Results about minimally inductive classes can be found here.