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countable_intersection [2013/09/05 00:40]
nikolaj
countable_intersection [2014/03/21 11:11]
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-===== Countable intersection ===== 
-==== Definition ==== 
-| @#88DDEE: $X$ | 
-| @#88DDEE: $A\in \mathrm{Sequence}(X)\ \lor\ A\in\mathrm{FinSequence}(X)$ | 
-| @#88DDEE: $n\in \mathbb N\cup\{\infty\}$ | 
  
-| @#FFBB00: $\bigcap_{j=1}^n A_j \equiv \bigcap A(\mathrm{range}(n))$ | 
- 
-==== Ramifications ==== 
-==== Context ==== 
-=== Refinement of === 
-[[Arbitrary intersection]] 
-=== Parents === 
-[[Sequence]],​ [[Finite sequence]] 
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