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3
votes
Why the intersection of a scott open (or \w the relatively compactness property) filter on a...
We have (only) to prove that for every open set $A\supseteq P$, where $P=\bigcap F$, we have $A\in F$ (for the whole notation you can see the question).
The missing step.
(we refer to [3], thanks to t …
2
votes
2
answers
346
views
Why the intersection of a scott open (or \w the relatively compactness property) filter on a...
We say that $F$ has the relatively compactness property if for all $A\in F$ exist $B\in F$ s.t. $B\ll A$. … In any case if you use the relatively compactness instead of the scott openness to find a (simpler) proof... it will be fine for me!
Thank you all,
Corrado.
References. …