Bounding point

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

Definition

Let $A\subset X$ for some vector space $X$. Then $x\in X$ is a bounding point for $A$ if it is neither an internal point for $A$ nor its complement.^[1]

References

1. Henry Hermes; Joseph P. La Salle (1969). Functional Analysis & Time Optimal Control. Academic Press. p. 8. ISBN 9780123426505.