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10 changes: 10 additions & 0 deletions spaces/S000138/properties/P000147.md
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---
space: S000138
property: P000147
value: true
refs:
- doi: 10.4064/fm-73-2-179-186
name: A normal space X for which X×I is not normal (M.E. Rudin)
---

See lemma 4 in {{doi:10.4064/fm-73-2-179-186}}.
10 changes: 10 additions & 0 deletions spaces/S000138/properties/P000162.md
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---
space: S000138
property: P000162
value: false
refs:
- doi: 10.4064/fm-73-2-179-186
name: A normal space X for which X×I is not normal (M.E. Rudin)
---

See IV.4 of {{doi:10.4064/fm-73-2-179-186}}.
4 changes: 1 addition & 3 deletions spaces/S000195/README.md
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Expand Up @@ -8,6 +8,4 @@ refs:
name: Answer to "Is there a first countable, $T_1$, weakly Lindelof, sequentially compact space which is not also compact?"
---

The set $\omega_1$ whose topology is generated by sets of
the form $\alpha\setminus F=[0,\alpha)\setminus F$ for
$\alpha<\omega_1$ and $F\subseteq\omega_1$ finite.
The set $\omega_1$ with topology equal to the join of the cofinite topology and left ray topology in the [lattice of topologies](https://en.wikipedia.org/wiki/Lattice_of_topologies) on $\omega_1$. This topology is generated by the sets of the form $\alpha\setminus F=[0,\alpha)\setminus F$ for $\alpha<\omega_1$ and $F\subseteq\omega_1$ finite.