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spaces/S000083/properties/P000216.md
@@ -4,4 +4,4 @@ property: P000216
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value: true
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---
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-Similar to the proof that {S83|P145}, using the fact that {S25|P216}.
+$X$ embeds as a subspace of {S209} and {S209|P216}.
spaces/S000209/properties/P000216.md
@@ -7,6 +7,6 @@ value: true
It is enough to show that each open set in $X$ is {P30}.
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The whole space is {P30} since {S209|P16}.
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And a proper open subset of $X$ is a disjoint union of open sets,
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-each homeomorphic to either {S25} or {S83}.
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-Both {S25|P30} and {S83|P30}.
+each homeomorphic to either {S170}, {S25} or {S83}.
+Observe each of {S170|P30}, {S25|P30} and {S83|P30}.
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Since the {P30} property is perserved by taking disjoint unions, the result follows.
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