On the pointwise limits of sequences of Świątkowski functions

Tomasz Natkaniec; Julia Wódka

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 4, page 875-888
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Natkaniec, Tomasz, and Wódka, Julia. "On the pointwise limits of sequences of Świątkowski functions." Czechoslovak Mathematical Journal 68.4 (2018): 875-888. <http://eudml.org/doc/294487>.

@article{Natkaniec2018,
abstract = {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.},
author = {Natkaniec, Tomasz, Wódka, Julia},
journal = {Czechoslovak Mathematical Journal},
keywords = {Świątkowski function; cliquish function; pointwise limit; $^\ast $topology of Hashimoto; $\mathcal \{I\}$-density topology; density topology},
language = {eng},
number = {4},
pages = {875-888},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the pointwise limits of sequences of Świątkowski functions},
url = {http://eudml.org/doc/294487},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Natkaniec, Tomasz
AU - Wódka, Julia
TI - On the pointwise limits of sequences of Świątkowski functions
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 4
SP - 875
EP - 888
AB - 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.
LA - eng
KW - Świątkowski function; cliquish function; pointwise limit; $^\ast $topology of Hashimoto; $\mathcal {I}$-density topology; density topology
UR - http://eudml.org/doc/294487
ER -

References

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