Last Updated
：2025/11/24
completely metrizable
Adjective
not-comparable
Japanese Meaning
（数学解析）集合がある距離により位相が定義され、その距離においてすべてのコーシー列が収束する、すなわち、距離可能で完備であることを意味する。
Quizzes for review
(mathematical analysis) Of a set, that it is metrizable and, under such given metric, complete.
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completely metrizable
With the sup norm, the space C([0,1]) of continuous real-valued functions is completely metrizable, so every Cauchy sequence converges to a continuous limit.
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With the sup norm, the space C([0,1]) of continuous real-valued functions is completely metrizable, so every Cauchy sequence converges to a continuous limit.
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