On the pointwise limits of sequences of Świątkowski functions

Czechoslovak Mathematical Journal

Tomasz Natkaniec, Julia Wódka¹ 

关键词: Świątkowski function;    cliquish function;    pointwise limit;    $^\ast$topology of Hashimoto;    $\mathcal{I}$-density topology;    density topology;   

DOI  :  10.21136/CMJ.2018.0022-17

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  The characterization of the pointwise limits of the sequences of Świątkowski functions is given. Modifications of Świątkowski property with respect to different topologies finer than the Euclidean topology are discussed.

【 授权许可】

Unknown