View source for Interior point of a set

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''in a topological space''

A point $x$ which of a given set $A$ in a topological space for which there is an open set $U$ such that $x \in U$ and $U$ is a subset of $A$. If $x$ is an interior point of a set $A$, then $A$ is said to be a ''[[neighbourhood]]'' of the point $x$ in the broad sense.  The [[interior]] of a set $A$ consists of the interior points of $A$.

[[Category:General topology]]