topology of precompact convergence

  • 1Tightness of measures — In mathematics, tightness is a concept in measure theory. The intuitive idea is that a given collection of measures does not escape to infinity. Contents 1 Definitions 2 Examples 2.1 Compact spaces 2.2 …

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  • 2Metric space — In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined. The metric space which most closely corresponds to our intuitive understanding of space is the 3 dimensional Euclidean… …

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  • 3Normal family — In mathematics, with special application to complex analysis, a normal family is a pre compact family of continuous functions. Informally, this means that the functions in the family are not exceedingly numerous or widely spread out; rather, they …

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