Definition:Immediate Successor Element/Also defined as
Jump to navigation
Jump to search
Immediate Successor Element: Also defined as
Some sources define an immediate successor element only in the context of a total ordering.
However, the concept remains valid in the context of a general ordering.
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: $\S 1$ Introduction to well ordering: Discussion