Topology and Measure

Measure and integral, definitions....Pages 1-3
Basic result on construction of a measure....Pages 3-6
Basic result on construction of an integral....Pages 6-15
Finitely additive theory....Pages 15-21
From “Baire” measures to “Borel” measures, an abstract approach....Pages 21-26
Construction of measures by approximation from outside and by approximation from inside....Pages 26-31
On the possibility of providing a space of measures with a vague topology....Pages 31-39
Definition and basic properties of the weak topology....Pages 40-42
Compactness in the weak topology....Pages 42-45
Criteria for weak convergence....Pages 45-47
On the structure of M + (X)....Pages 47-51
A problem related to questions of uniformity....Pages 51-54
First solution of the ξ-problem....Pages 54-60
Second solution of the ξ-problem....Pages 60-64
Uniformity classes....Pages 64-66
Joint continuity....Pages 66-68
Preservation of weak convergence....Pages 68-71