Typical Sequence of Real Numbers From the Unit Interval Has All Distribution Functions

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DOI: https://doi.org/10.28924/2291-8639-22-2024-72
Published: May 6, 2024
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József Bukor, Kálmán Liptai, János T. Tóth, Typical Sequence of Real Numbers From the Unit Interval Has All Distribution Functions, Int. J. Anal. Appl., 22 (2024), 72.

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József Bukor, Kálmán Liptai, János T. Tóth

Abstract

This note is devoted to the study of typical properties (in Baire category sense) of sequences of real numbers in [0, 1]. We prove that the subset of sequences that have all distribution functions forms a residual set.

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References

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