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Lecture Notes in Mathematics

By: Flemming Topsoe

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Paperback | 1 January 1970

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96 Pages

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23.39 x 15.6 x 0.51

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Measure and integral, definitions.- Basic result on construction of a measure.- Basic result on construction of an integral.- Finitely additive theory.- From "Baire" measures to "Borel" measures, an abstract approach.- Construction of measures by approximation from outside and by approximation from inside.- On the possibility of providing a space of measures with a vague topology.- Definition and basic properties of the weak topology.- Compactness in the weak topology.- Criteria for weak convergence.- On the structure of M +(X).- A problem related to questions of uniformity.- First solution of the ?-problem.- Second solution of the ?-problem.- Uniformity classes.- Joint continuity.- Preservation of weak convergence.

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