Definition:G-Tower

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

• Definition:Tower in Set

• 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