[高微] 高微證明

[TampaBayRays (坦帕灣光芒)]

1.Every infinite set of E has a limit point in E.

2.Every sequence in E contains a subsequence which converges in E.

Prove that 1&2 is equivalent

請各位高手幫幫我

謝謝

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◆ From: 220.136.40.71
→ handsomepow :第2是compact 3個等價條件之一 0.0
推 bineapple   :這邊E是compact set嗎?
→ bineapple   :還有第一題應該是infinite?
已修正 謝謝
→ handsomepow :我高微很爛...期中考念compact中毒太深
→ TampaBayRays:老師給的題目就只有這樣所以E應該不是compact
推 handsomepow :我只知道Nested theorem:Any bounded seqence has
→ handsomepow :a convergent subsequence in R^n
推 yusd24      :整數點就沒有 limit point..應該要有些條件吧??
→ TampaBayRays:E is a set in RK
→ TampaBayRays:好像是說1.成立若且為若E is compact
推 PaulErdos   :你要po文是不是應該把題目寫完整........
推 chris90174  :題目是不是沒說完啊？不然第一個取整數就掛了
抱歉 已修正
※ 編輯: TampaBayRays    來自: 220.136.40.71        (11/25 08:55)