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open_ball [2013/09/08 17:40]
nikolaj
open_ball [2014/03/21 11:11] (current)
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 ===== Open ball ===== ===== Open ball =====
-==== Definition ​==== +==== Set ==== 
-| @#88DDEE: $\langle d,X\rangle$ ... metric space | +| @#55CCEE: context ​    | @#55CCEE: $\langle d,X\rangle$ ... metric space | 
-| @#88DDEE: $a\in X$ |+| @#55CCEE: context ​    | @#55CCEE: $a\in X$ |
  
-| @#FFBB00: $B_a:​\mathbb R_+^*\to \mathcal P(X)$ | +| @#FFBB00: definiendum ​| @#FFBB00: $B_a:​\mathbb R_+^*\to \mathcal P(X)$ | 
-| @#FFBB00: $B_a(r):= \{x\ |\ d(x,a)<r \}$ |+| @#FFBB00: definiendum ​| @#FFBB00: $B_a(r):= \{x\ |\ d(x,a)<r \}$ |
  
 ==== Discussion ==== ==== Discussion ====
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 Wikipedia: [[http://​en.wikipedia.org/​wiki/​Ball_%28mathematics%29|Ball (Mathematics)]] Wikipedia: [[http://​en.wikipedia.org/​wiki/​Ball_%28mathematics%29|Ball (Mathematics)]]
 ==== Parents ==== ==== Parents ====
-=== Requirements ​===+=== Context ​===
 [[Metric]] [[Metric]]
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