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Title: On the pointwise limits of sequences of Świątkowski functions (English)
Author: Natkaniec, Tomasz
Author: Wódka, Julia
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 68
Issue: 4
Year: 2018
Pages: 875-888
Summary lang: English
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Category: math
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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. (English)
Keyword: Świątkowski function
Keyword: cliquish function
Keyword: pointwise limit
Keyword: $^\ast $topology of Hashimoto
Keyword: $\mathcal {I}$-density topology
Keyword: density topology
MSC: 26A15
MSC: 26A21
MSC: 54C08
MSC: 54C30
idZBL: Zbl 07031686
idMR: MR3881885
DOI: 10.21136/CMJ.2018.0022-17
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Date available: 2018-12-07T06:16:10Z
Last updated: 2021-01-04
Stable URL: http://hdl.handle.net/10338.dmlcz/147509
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