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Q: (X,d) be a metric space. Prove that F1 and F2 are two disjoint closed sets in X, then exists two open sets in X, O1)F1, and O2)F2, such taht O1 interaction O2 = empty 請大家幫幫忙了!!我想了好久都不知道怎麼下筆阿!! 謝謝囉!! -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 68.232.118.197
HmmHmm :hint: 用F1 跟 F2 的 distance 10/22 14:08
math1209 :除了樓上的方法外, 反證也行. 10/22 14:12
FANggot :Construct a open cover with open neighboorhoods 10/22 14:34