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manuscripta mathematica

, Volume 19, Issue 1, pp 1–14 | Cite as

Some special results on convergent sequences of radon measures

  • Flemming Topsøe
Article

Abstract

Two problems will be considered. In Part I we consider a class of subsets
of a topological space X and a Radon measure on X; if it is known that, for sufficiently many\(T \subseteqq X\), the restrictions of the sets in
constitutes a uniformity class in T w.r.t. the restriction of the given measure, then we ask if it follows that
is a uniformity class in X.

Part II, which can be read independently of Part I, is concerned with the question whether, to a given convergent sequence of Radon measures, say μn→μ, there always exist “sufficiently many” compact sets K such that μn(K)→μ(K).

Keywords

Number Theory Algebraic Geometry Topological Group Special Result Radon Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Flemming Topsøe
    • 1
  1. 1.Matematisk InstitutCopenhagenDenmark

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