Flemming Topsoe

Topology and Measure

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 133
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-04922-7
• 1970
• Seitenzahl: 96
• Erscheinungstermin: 1. Januar 1970
• Englisch
• Abmessung: 235mm x 155mm x 6mm
• Gewicht: 177g
• ISBN-13: 9783540049227
• ISBN-10: 3540049223
• Artikelnr.: 23380520

Inhaltsangabe

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.