Editing Separated sets (section)

{{Short description|Type of relation for subsets of a topological space}}
{{Separation axioms}}
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In [[topology]] and related branches of [[mathematics]], '''separated sets''' are pairs of [[subset]]s of a given [[topological space]] that are related to each other in a certain way: roughly speaking, neither overlapping nor touching.  The notion of when two sets are separated or not is important both to the notion of [[connected space]]s (and their connected components) as well as to the [[separation axiom]]s for topological spaces.

Separated sets should not be confused with [[separated space]]s (defined below), which are somewhat related but different.  [[Separable space]]s are again a completely different topological concept.