< Definition:Nest(Redirected from Definition:Nest (Class Theory))Jump to navigation Jump to search
Let $C$ be a class.
$C$ is a nest if and only if:
- $\forall x, y \in C: x \subseteq y$ or $y \subseteq x$
- Results about nests can be found here.
- 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $3$: The Natural Numbers: $\S 4$ A double induction principle and its applications: Definition $4.5$