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To ensure each map f_i:X→M_i is continuous, we endow X with the initial topology induced by the family of functions f_i.
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To ensure each map f_i:X→M_i is continuous, we endow X with the initial topology induced by the family of functions f_i.
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Related words
initial topology
Noun
Japanese Meaning
与えられた集合 X と、各々の位相空間 (M_i, T_i) と写像 f_i: X → M_i の族に対して、すべての f_i が連続となるような、X 上の位相の中で最も粗い位相。
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