[分析] R^n中的點集拓樸
如果A是R^n中的開集合
我已經推得：
(<=是"被包含"、L(A)是A的limit pt.、A^c是R^n\A、bd(A)是A的邊界、/\是交集、
int(A)是A的內點集合)
(1) A<=L(A)
(2) L(A^c) <= A^c
所以 bd(A) = L(A) /\ A^c
我又證得int(bd(A)) = empty
可是我想證 int(L(A)) = A 、 int(A^c) = (L(A))^c (這兩個如果成立 則也可以此推得
int(bd(A)) = empty)
已經試好久了...謝謝幫忙！
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 1.164.252.53
→
10/06 00:09, , 1F
10/06 00:09, 1F
→
10/06 00:12, , 2F
10/06 00:12, 2F
→
10/06 00:15, , 3F
10/06 00:15, 3F
→
10/06 00:18, , 4F
10/06 00:18, 4F
→
10/06 00:20, , 5F
10/06 00:20, 5F
→
10/06 00:21, , 6F
10/06 00:21, 6F
→
10/06 00:21, , 7F
10/06 00:21, 7F
→
10/06 00:22, , 8F
10/06 00:22, 8F
→
10/06 00:23, , 9F
10/06 00:23, 9F