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Topology and Measure [electronic resource] / by Flemming Topsøe.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 133Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1970Description: XVI, 84 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540362845
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 510 23
LOC classification:
  • QA1-939
Online resources:
Contents:
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.
In: Springer eBooks
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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.

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