# Category:Minimal Infinite Successor Set

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This category contains results about the minimal infinite successor set.

Definitions specific to this category can be found in Definitions/Minimal Infinite Successor Set.

Let $S$ be an infinite successor set.

The **minimal infinite successor set** $\omega$ is the infinite successor set given by:

- $\omega := \displaystyle \bigcap \set {S' \subseteq S: \text{$S'$ is an infinite successor set} }$

that is, $\omega$ is the intersection of every infinite successor set which is a subset of $S$.

## Pages in category "Minimal Infinite Successor Set"

The following 14 pages are in this category, out of 14 total.