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Keywords:
Świątkowski function; cliquish function; pointwise limit; $^\ast $topology of Hashimoto; $\mathcal {I}$-density topology; density topology
Świątkowski function; cliquish function; pointwise limit; $^\ast $topology of Hashimoto; $\mathcal {I}$-density topology; density topology
Summary:
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.
References:
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