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open_ball [2013/09/08 17:38] nikolaj created |
open_ball [2013/09/08 17:40] nikolaj |
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==== Definition ==== | ==== Definition ==== | ||
| @#88DDEE: $\langle d,X\rangle$ ... metric space | | | @#88DDEE: $\langle d,X\rangle$ ... metric space | | ||
+ | | @#88DDEE: $a\in X$ | | ||
- | | @#FFBB00: $B:X\times \mathbb R_+^*\to \mathcal P(X)$ | | + | | @#FFBB00: $B_a:\mathbb R_+^*\to \mathcal P(X)$ | |
- | | @#FFBB00: $\langle r,a\rangle \mapsto B_a(r):= \{x\ |\ d(x,a)<r \}$ | | + | | @#FFBB00: $B_a(r):= \{x\ |\ d(x,a)<r \}$ | |
==== Discussion ==== | ==== Discussion ==== |