Bounding point

Short description: Mathematical concept related to subsets of vector spaces

In functional analysis, a branch of mathematics, a bounding point of a subset of a vector space is a conceptual extension of the boundary of a set.

Definition

Let [math]\displaystyle{ A }[/math] be a subset of a vector space [math]\displaystyle{ X }[/math]. Then [math]\displaystyle{ x \in X }[/math] is a bounding point for [math]\displaystyle{ A }[/math] if it is neither an internal point for [math]\displaystyle{ A }[/math] nor its complement.