Topology and measure

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InhaltsverzeichnisMeasure 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.