diff --git a/spaces/S000027/properties/P000219.md b/spaces/S000027/properties/P000219.md
new file mode 100644
index 0000000000..eeb2a49eeb
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+++ b/spaces/S000027/properties/P000219.md
@@ -0,0 +1,7 @@
+---
+space: S000027
+property: P000219
+value: false
+---
+
+The subset $\mathbb{Z} \subset \mathbb{Q}$ is not homeomorphic to $\mathbb{Q}$ as it has no isolated points.
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diff --git a/spaces/S000170/properties/P000219.md b/spaces/S000170/properties/P000219.md
new file mode 100644
index 0000000000..dbd9b19fe8
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@@ -0,0 +1,7 @@
+---
+space: S000170
+property: P000219
+value: false
+---
+
+The subspace $S^1 \setminus \{p\}$ for any $p \in S^1$ has the same cardinality as $S^1$ but is homeomorphic to $\mathbb{R}$.
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