Open ball
Set
context | $\langle d,X\rangle$ … metric space |
context | $a\in X$ |
definiendum | $B_a:\mathbb R_+^*\to \mathcal P(X)$ |
definiendum | $B_a(r):= \{x\ |\ d(x,a)<r \}$ |
Discussion
Reference
Wikipedia: Ball (Mathematics)
context | $\langle d,X\rangle$ … metric space |
context | $a\in X$ |
definiendum | $B_a:\mathbb R_+^*\to \mathcal P(X)$ |
definiendum | $B_a(r):= \{x\ |\ d(x,a)<r \}$ |
Wikipedia: Ball (Mathematics)