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AuthorTopsรธe, Flemming. author
TitleTopology and Measure [electronic resource] / by Flemming Topsรธe
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1970
Connect tohttp://dx.doi.org/10.1007/BFb0069481
Descript XVI, 84 p. online resource

CONTENT

Measure and integral, definitions -- Basic result on construction of a measure -- Basic result on construction of an integral -- Finitely additive theory -- From โ{128}{156}Baireโ{128}{157} measures to โ{128}{156}Borelโ{128}{157} 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


Mathematics Mathematics Mathematics general



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