Geodesic
On the pointwise limits of sequences of Świątkowski functions
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 4, pp. 875-888.

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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.
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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     title = {On the pointwise limits of sequences of {\'Swi\k{a}tkowski} functions},
     journal = {Czechoslovak Mathematical Journal},
     pages = {875--888},
     publisher = {mathdoc},
     volume = {68},
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     language = {en},
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Natkaniec, Tomasz; Wódka, Julia. On the pointwise limits of sequences of Świątkowski functions. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 4, pp. 875-888. doi : 10.21136/CMJ.2018.0022-17. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0022-17/

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