On the ideal convergence of sequences of Świątkowski functions
Tomasz Natkaniec , Piotr Szuca
AbstractFor any Borel idealIthe class of I-limits of sequences of ́Swiątkowski functions is described. In particular, we characterize Borel ideals I for which classes of ideal and ordinary limits of sequences of ́Swiątkowski functions coincide. We consider also ideal limits of sequences of functions possessing the ́Swiątkowski property related to some density-type topologies. Moreover, an alternative characterization of ordinary limits of sequences of ́Swiątkowski functions is given.
|Journal series||European Journal of Mathematics, ISSN 2199-675X, e-ISSN 2199-6768, (0 pkt)|
|Publication size in sheets||0.6|
|Keywords in English||pointwise convergence, Świątkowski function, strong Świątkowski function, pointwise discontinuous function, ideal convergence, ideal, ω-+-diagonalizable filter, weakly Ramsey filter|
|Score||= 5.0, 24-07-2019, ArticleFromJournal|
|Publication indicators||: 2016 = 0.227|
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