Definition:Nest of Mappings
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Definition
A nest of mappings is a nest whose elements are all mappings.
The subset relation which forms the (total) ordering on the mappings is defined as subset relation on mappings:
- $f \subseteq g \iff \forall x \in \Dom f: \map f x = \map g x$
Also see
- Results about nests of mappings can be found here.
Sources
- 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $6$: Order Isomorphism and Transfinite Recursion: $\S 1$ A few preliminaries