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To prove that a function is continuous, it suffices to show that the preimage of every open set in the codomain is open in the topological space.
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To prove that a function is continuous, it suffices to show that the preimage of every open set in the codomain is open in the topological space.
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Related words
topological space
Noun
formal
broadly
Japanese Meaning
位相空間:集合 X と、その上で定められる位相 τ(X の部分集合の集まりで、特定の公理―例えば、X と空集合を含み、任意の合併及び有限個の交わりが位相に含まれる―を満たす)が定める順序対のこと。
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