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Definition 65

[0K4] Let (Y,Οƒ) be a Hausdorff topological space. Let (J,≀) be a set with filtering order (defined in [06M]). Let Ο†:Jβ†’Y be a net (already met in Sec. [29X]).

We define that limj∈JΟ†(x)=β„“βˆˆY if and only if, for every neighborhood V of β„“ in Y you have that Ο†(j)∈V eventually for j∈J.

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  • space, topological
  • topological space
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