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several easy homogeneous results #789

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Oct 7, 2024
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2 changes: 1 addition & 1 deletion spaces/S000038/properties/P000086.md
Original file line number Diff line number Diff line change
Expand Up @@ -4,4 +4,4 @@ property: P000086
value: false
---

Follows as every point except $\langle 0,0 \rangle$ is a cut point.
Every point except $\langle 0,0 \rangle$ is a cut point, and $\langle 0,0 \rangle$ is not.
3 changes: 1 addition & 2 deletions spaces/S000044/properties/P000086.md
Original file line number Diff line number Diff line change
Expand Up @@ -4,5 +4,4 @@ property: P000086
value: false
---

$1/3$ belongs to a single open set $(0,1)$, but
$2/5$ belongs to two open sets $(0,1)$ and $(0,1/2)$.
$1$ is a closed point, but $1/3$ is not.
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$1$ doesn't belong to the space, so this needs to be fixed. I'll address in #791

2 changes: 1 addition & 1 deletion spaces/S000045/properties/P000086.md
Original file line number Diff line number Diff line change
Expand Up @@ -4,4 +4,4 @@ property: P000086
value: false
---

$0$ belongs to every open set, but $1$ does not.
$0$ belongs to every nonempty open set, but $1$ does not.