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Update theorems/T000847.md
Co-authored-by: Geoffrey Sangston <geoffreysangston@gmail.com>
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theorems/T000847.md

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For each $x\in X$, every neighborhood of $x$ contains an open neighborhood homeomorphic to
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some Euclidean space $\mathbb R^n$ or some closed half-space $\mathbb R^n_+$.
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And $\mathbb R^n$ and $\mathbb R^n_+$ are both {P199}
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And both $\mathbb R^n$ and $\mathbb R^n_+$ are {P199}
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as they can be deformation retracted to a point using a straight-line homotopy.

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