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math104-f21:compactness [2022/01/11 16:36] pzhou ↷ Page moved from math104:compactness to math104-f21:compactness |
math104-f21:compactness [2026/02/21 14:41] (current) |
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| Assume $K$ is sequentially compact, we will prove the following two lemma. | Assume $K$ is sequentially compact, we will prove the following two lemma. | ||
| - | === Lemma 1 === Assume $K$ is sequentially compact, then for any $\epsilon> | + | === Lemma 1 === |
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| + | Assume $K$ is sequentially compact, then for any $\epsilon> | ||
| $K \In \bigcup_{x \in S} B_\epsilon(x). $ | $K \In \bigcup_{x \in S} B_\epsilon(x). $ | ||