Category:Nested Sequences
Jump to navigation
Jump to search
This category contains results about Nested Sequences.
Definitions specific to this category can be found in Definitions/Nested Sequences.
Let $S$ be a set.
Let $\SS = \powerset S$ be the power set of $S$.
Let $\sequence {S_k}_{k \mathop \in \N}$ be a sequence of subsets of $S$ such that either:
- $\forall k \in \N: S_k \subseteq S_{k + 1}$
or:
- $\forall k \in \N: S_k \supseteq S_{k + 1}$
Then $\family {S_k}_{k \mathop \in \N}$ is a nested sequence (of sets).
Pages in category "Nested Sequences"
This category contains only the following page.