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.