Definition:G-Tower
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Definition
Let $M$ be a class.
Let $g: M \to M$ be a progressing mapping on $M$.
Let $M$ be minimally superinductive under $g$.
Then $M$ is called a $g$-tower.
Also see
- Results about $g$-towers 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 $\text I$ -- Superinduction and Well Ordering: $\S 2$ Superinduction and double superinduction