# Category:Dedekind Complete Sets

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This category contains results about Dedekind Complete Sets.

Let $\struct {S, \preceq}$ be an ordered set.

Then $\struct {S, \preceq}$ is Dedekind complete if and only if every non-empty subset of $S$ that is bounded above admits a supremum (in $S$).

## Pages in category "Dedekind Complete Sets"

This category contains only the following page.