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user 54610
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answers
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Why the intersection of a scott open (or \w the relatively compactness property) filter on a...
We call $\mathcal{Ofilt}(X)$ the space of the scott open filters on $X$.
We call $A\subseteq X$ saturated if $A=\bigcap\{U\in\tau_X\mid A\subseteq U\}$. …
- 163
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 …
- 163