[分析] outer measure

看板Math作者 (卡卡:目)時間13年前 (2012/10/13 21:28), 編輯推噓2(2推 0噓 4→)
留言6則, 3人參與, 最新討論串1/1
we have countable set outer measure zero Q1:""Does the converse also hold?"" i.e if outer measure zero then the set is countable. but...the outer measure empty we def zero so we let the set be nonempty set Q2: what the outer measure of a countable collection that each element are countable sets? It's also zero? -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 124.9.193.140
推
10/13 21:38, , 1F
Q1不一定 cantor set就是反例
10/13 21:38, 1F
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10/13 21:38, , 2F
Q2的話 你的集合是"集合的集合"耶
10/13 21:38, 2F
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10/13 22:06, , 3F
Q2:所以不能求 集合的集合的外測度嗎？
10/13 22:06, 3F
推
10/13 22:07, , 4F
一般測度的定義是在R^n的子集
10/13 22:07, 4F
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10/13 22:08, , 5F
所以你要定義集合的集合的外測度...自己定囉= =
10/13 22:08, 5F
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10/14 18:42, , 6F
Q1 cantor set Q2沒有這種定義...(自己定吧@@!!)
10/14 18:42, 6F
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