Topology and Measure
(Sprache: Englisch)
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...
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Klappentext zu „Topology and Measure “
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.
Inhaltsverzeichnis zu „Topology and Measure “
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.
Bibliographische Angaben
- Autor: Flemming Topsoe
- 1970, 96 Seiten, Maße: 15,5 x 23,5 cm, Taschenbuch, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540049223
- ISBN-13: 9783540049227
- Erscheinungsdatum: 01.01.1970
Sprache:
Englisch
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