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Results tagged with gn.general-topology
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user 54610
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
2
votes
2
answers
346
views
Why the intersection of a scott open (or \w the relatively compactness property) filter on a...
Definitions and notations.
Let $\mathcal{P}(X)$ the power set of $X$.
Let $\tau_X\subseteq\mathcal{P}(X)$ a topology on X.
We call $A$ irreducible if every time $A=B\cup C$ with $B,C$ closed set th …
- 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