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@ -123,7 +123,7 @@ In fact we have shown
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Then $d(\cdot , U^c)\colon U \to \R_{\ge 0}$
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is always non-zero and continuous.
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So $d(K,U^c)$ attains a minimum $\epsilon > 0$.
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Then $B_{\epsilon}^H_\epsilon(K) \subseteq U$,
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Then $B_{\epsilon}^H(K) \subseteq U$,
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so $[U]$ is open in $\tau_V$.
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Let $K \in \langle U \rangle$.
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