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单词 DinisTheorem
释义

Dini’s theorem


If a monotonically increasing net {fn} of continuousMathworldPlanetmathPlanetmath real-valued functions on a topological spaceMathworldPlanetmath (X,τ) convergesPlanetmathPlanetmath pointwisePlanetmathPlanetmath to a continuous function f, then the net converges to f uniformly on compactsPlanetmathPlanetmath.

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更新时间:2025/5/3 18:06:26