English

On the pointwise limits of sequences of \'Swi\k{a}tkowski functions

General Topology 2017-12-05 v1 Classical Analysis and ODEs

Abstract

The characterization of the pointwise limits of the sequences of \'Swi\k{a}tkowski functions is given. Modifications of \'Swi\k{a}tkowski property with respect to different topologies finer than the Euclidean topology are discussed.

Keywords

Cite

@article{arxiv.1712.00844,
  title  = {On the pointwise limits of sequences of \'Swi\k{a}tkowski functions},
  author = {Tomasz Natkaniec and Julia Wódka},
  journal= {arXiv preprint arXiv:1712.00844},
  year   = {2017}
}