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Boundary Point

A point which is a member of the Closure of a given set $S$ and the Closure of its complement set. If $A$ is a subset of $\Bbb{R}^n$, then a point ${\bf x} \in \Bbb{R}^n$ is a boundary point of $A$ if every Neighborhood of ${\bf x}$ contains at least one point in $A$ and at least one point not in $A$.

See also Boundary

© 1996-9 Eric W. Weisstein