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Rendiconti del Circolo Matematico di Palermo

, Volume 48, Issue 3, pp 451–476 | Cite as

Ψ-density topology

  • Malgorzata Terepeta
  • Elzbieta Wagner-Bojakowska
Article

Abstract

We study the notion of ψ-density point and ψ-density topologies for non-decreasing continuous functions ψ. Also basic properties of ψ-approximately continuous functions are considered.

Keywords

Real Line Pairwise Disjoint Measure Zero Density Point Euclidean Topology 
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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    Oxtoby J. C.,Measure and category, Springer Verlag, New York, 1971.MATHGoogle Scholar
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    Scheinberg S.,Topologies which generate a complete measure algebra, Advances in Mathematics7 (1971), 231–239.MATHCrossRefMathSciNetGoogle Scholar
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    Taylor S. J.,On strengthening the Lebesgue Density Theorem, Fund. Math.46 (1959), 305–315.MATHMathSciNetGoogle Scholar
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    Tall F. D.,The density topology, Pacific J. Math.62 (1976), 275–284.MATHMathSciNetGoogle Scholar

Copyright information

© Springer 1999

Authors and Affiliations

  • Malgorzata Terepeta
    • 1
  • Elzbieta Wagner-Bojakowska
    • 1
  1. 1.Chair of real FunctionsLódź University ulLódźPoland

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