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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 …
Corrado's user avatar
  • 163
2 votes
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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. …
Corrado's user avatar
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