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radial set : ウィキペディア英語版
radial set
In mathematics, given a linear space X, a set A \subseteq X is radial at the point x_0 \in A if for every x \in X there exists a t_x > 0 such that for every t \in (), x_0 + tx \in A. In set notation, A is radial at the point x_0 \in A if
:\bigcup_\ \bigcap_\ \bigcup_ \ \subseteq A.
The set of all points at which A \subseteq 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 \subseteq 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.
== References ==



抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「radial set」の詳細全文を読む



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