# Differences

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 countable_intersection [2013/09/06 22:04]127.0.0.1 external edit countable_intersection [2014/03/21 11:11] (current) Both sides previous revision Previous revision 2013/09/08 15:35 nikolaj 2013/09/06 22:04 external edit2013/09/05 00:40 nikolaj 2013/09/05 00:38 nikolaj 2013/08/16 14:53 nikolaj 2013/08/15 09:13 nikolaj 2013/08/14 22:13 nikolaj 2013/08/06 11:52 nikolaj 2013/08/04 21:21 nikolaj 2013/08/04 20:22 nikolaj created Next revision Previous revision 2013/09/08 15:35 nikolaj 2013/09/06 22:04 external edit2013/09/05 00:40 nikolaj 2013/09/05 00:38 nikolaj 2013/08/16 14:53 nikolaj 2013/08/15 09:13 nikolaj 2013/08/14 22:13 nikolaj 2013/08/06 11:52 nikolaj 2013/08/04 21:21 nikolaj 2013/08/04 20:22 nikolaj created Line 1: Line 1: ===== Countable intersection ===== ===== Countable intersection ===== - ==== Definition ​==== + ==== Set ==== - | @#88DDEE: $X$ | + | @#55CCEE: context ​    | @#55CCEE: $X$ | - | @#88DDEE: $A\in \mathrm{Sequence}(X)\ \lor\ A\in\mathrm{FinSequence}(X)$ | + | @#55CCEE: context ​    | @#55CCEE: $A\in \mathrm{Sequence}(X)$ | - | @#88DDEE: $n\in \mathbb N\cup\{\infty\}$ | + | @#55CCEE: context ​    | @#55CCEE: $n\in \mathbb N\cup\{\infty\}$ | - | @#FFBB00: $\bigcap_{j=1}^n A_j \equiv \bigcap A(\mathrm{range}(n))$ | + | @#FFBB00: definiendum ​| @#FFBB00: $\bigcap_{j=1}^n A_j \equiv \bigcap A(\mathrm{range}(n))$ | ==== Ramifications ==== ==== Ramifications ==== Line 11: Line 11: === Refinement of === === Refinement of === [[Arbitrary intersection]] [[Arbitrary intersection]] - === Context ​=== + === Related ​=== - [[Sequence]], [[Finite sequence]] + [[Sequence]]