# Category:Definitions/Perfect Sets

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This category contains definitions related to Perfect Sets.

Related results can be found in Category:Perfect Sets.

A **perfect set** of a topological space $T = \left({S, \tau}\right)$ is a subset $H \subseteq S$ such that:

- $H = H'$

where $H'$ is the derived set of $H$.

That is, where:

- every point of $H$ is a limit point of $H$

and

- every limit point of $H$ is a point of $H$.

## Pages in category "Definitions/Perfect Sets"

The following 4 pages are in this category, out of 4 total.