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Missed Circle open subspace, change S83 also.
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spaces/S000083/properties/P000216.md

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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}.
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$X$ embeds as a subspace of {S209} and {S209|P216}.

spaces/S000209/properties/P000216.md

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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}.
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each homeomorphic to either {S170}, {S25} or {S83}.
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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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