A subset N of a topological space S is said to be closed if the limit of the points of N is also in N. This is equivalent to saying that the complement of N is an open set. Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information |
位相空間 Sの部分集合 Nは,Nの点の極限がまた Nに入るとき,閉集合であるといわれる。これは,Nの補集合が開集合であることと同値である。
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