Radial set
In mathematics, given a linear space X, a set A ⊆ X is radial at the point if for every x ∈ X there exists a such that for every,.
Geometrically, this means A is radial at if for every x ∈ X a line segment emanating from in the direction of x lies in, where the length of the line segment is required to be non-zero but can depend on x.
The set of all points at which A ⊆ X is radial is equal to the algebraic interior.
The points at which a set is radial are often referred to as internal points.
A set A ⊆ X is absorbing if and only if it is radial at 0. Some authors use the term radial as a synonym for absorbing, i. e. they call a set radial if it is radial at 0.
