Inmathematics, a subset of a linear space isradial at a given point if for every there exists a real such that for every [1] Geometrically, this means is radial at if for every there is some (non-degenerate) line segment (depend on ) emanating from in the direction of that lies entirely in
Every radial set is a star domain although not conversely.
The points at which a set is radial are called internal points.[2][3] The set of all points at which is radial is equal to the algebraic interior.[1][4]
Every absorbing subset is radial at the origin and if the vector space is real then the converse also holds. That is, a subset of a real vector space is absorbing if and only if it is radial at the origin. Some authors use the term radial as a synonym for absorbing.[5]
Topological vector spaces (TVSs)
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