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Open ball

Definition

$\langle d,X\rangle$ … metric space
$B:X\times \mathbb R_+^*\to \mathcal P(X)$
$\langle r,a\rangle \mapsto B_a(r):= \{x\ |\ d(x,a)<r \}$

Discussion

Reference

Wikipedia: Ball (Mathematics)

Parents

Requirements

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