On the pointwise limits of sequences of Świątkowski functions

Natkaniec, Tomasz   ; Wódka, Julia

Czechoslovak Mathematical Journal, Tome 68 (2018) no. 4, pp. 875-888

Abstract (VO)

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.

Détail

DOI : 10.21136/CMJ.2018.0022-17

Classification : 26A15, 26A21, 54C08, 54C30
Keywords: Świątkowski function; cliquish function; pointwise limit; $^\ast $topology of Hashimoto; $\mathcal {I}$-density topology; density topology

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