Ivan Shishkin, Birch Grove

Boule fermée

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Définition

Soit EE un espace métrique muni de sa distance dd, x∈Ex \in E, R∈R+R\in \mathbb{R+}.
On appelle boule fermée de centre x0x_{0} et de rayon RR, l’ensemble
B‾(x0,R)={y∈E ∣ d(x0,y)≤R}.\overline{B}(x_{0},R)=\{ y\in E \, | \, d(x_{0},y)\le R \}.

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