Typical Sequence of Real Numbers From the Unit Interval Has All Distribution Functions
József Bukor, Kálmán Liptai, János T. Tóth · International Journal of Analysis and Applications · 2024
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.