Definition:G-Set
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Definition
Let $A$ be a class.
Let $g: A \to A$ be a mapping.
We say that
- $x$ is a $g$-set
- $x$ is an element of every class that is superinductive under $g$.
Also see
- Results about $g$-sets can be found here.
Sources
- 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $4$: Superinduction, Well Ordering and Choice: Part $\text {III}$ -- The existence of minimally superinductive classes: $\S 7$ Cowen's theorem