Author | Topsรธe, Flemming. author |
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Title | Topology and Measure [electronic resource] / by Flemming Topsรธe |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1970 |
Connect to | http://dx.doi.org/10.1007/BFb0069481 |
Descript | XVI, 84 p. online resource |
Measure and integral, definitions -- Basic result on construction of a measure -- Basic result on construction of an integral -- Finitely additive theory -- From โBaireโ measures to โBorelโ 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