Category:Decreasing Sequences of Sets

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This category contains results about Decreasing Sequences of Sets.
Definitions specific to this category can be found in Definitions/Decreasing Sequences of Sets.

Let $\sequence {S_k}_{k \mathop \in \N}$ be a nested sequence of subsets of $S$ such that:

$\forall k \in \N: S_k \supseteq S_{k + 1}$

Then $\sequence {S_k}_{k \mathop \in \N}$ is a decreasing sequence of sets (in $\SS$).