推 jacky7987 :證明他是沒有內點的完美集? 05/28 20:30
→ cholauda :哦...只有給這麼一句話...應該是這個意思吧?! 05/29 13:53
推 jacky7987 :Let C be a cantor set, and f be a homeo. 05/29 16:17
→ jacky7987 :If int(f(C)) is nonempty, 05/29 16:19
→ jacky7987 :suppose x is in int(f(C)) and a nhd U of x 05/29 16:19
→ jacky7987 :then f^{-1}(U) is a open set in C 05/29 16:20
→ jacky7987 :(應該是這樣吧 05/29 16:21
→ jacky7987 :接著就只要證明f(C)'=f(C) 應該也算簡單吧XD 05/29 16:21
→ jacky7987 :只是我不確定這樣是不就是Cantor set就試了 05/29 16:22
→ cholauda :謝謝大大~ 我來研讀一下~ 05/29 18:53