Topology and measure

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Hlavní autor: Topsøe, Flemming
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Edice:Lecture notes in mathematics 133
Témata:
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Topology and measure, Flemming Topsøe,..., 1970, Berlin, Springer-Verlag, 1 vol. (XIV-79 p.), Lecture notes in mathematics, 978-3-540-04922-7
• Topology and Measure, Texte imprimé, 9783662187722
Obsah:
  • 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.