This shows you the differences between two versions of the page.
| Next revision | Previous revision | ||
|
math104-f21:compactness [2021/10/14 23:47] pzhou created |
math104-f21:compactness [2026/02/21 14:41] (current) |
||
|---|---|---|---|
| Line 18: | Line 18: | ||
| 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 === |
| + | |||
| + | 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). $ | ||