Radial set

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In mathematics, given a linear space , a set is radial at the point if for every there exists a such that for every , .[1] In set notation, is radial at the point if

The set of all points at which is radial is equal to the algebraic interior.[1][2] The points at which a set is radial are often referred to as internal points.[3][4]

A set is absorbing if and only if it is radial at 0.[1] Some authors use the term radial as a synonym for absorbing, i. e. they call a set radial if it is radial at 0.[5]


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