Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter February 28, 2017

Difference of two strong Światkowski lower semicontinuous functions

Robert Menkyna
From the journal Mathematica Slovaca


The problem of a family functions representable as the difference of two lower semicontinuous strong Światkowski functions is discussed. Particularly, we suggest how to characterize such systems.

MSC 2010: Primary 26A15; 26A21

(Communicated by Ján Borsík)


[1] Kempisty, S.: Sur les functions quasicontinues, Fund. Math. 19 (1932), 184–197.Search in Google Scholar

[2] Maliszewski, A.: Darboux Property and Quasi-continuity: A Uniform Approach, Wydaw. Uczelniane WSP, 1996.Search in Google Scholar

[3] Maliszewski, A.: On the differences of upper semicontinuous quasi-continuous functions, Math. Slovaca 48 (1998), 245–252.Search in Google Scholar

[4] Maliszewski, A.: On the sums of Darboux upper semicontinuous quasi-continuous functions, Real Anal. Exchange 20 (1994/95), 244–249.Search in Google Scholar

[5] Menkyna, R.: On the sums of lower semicontinuous strong Światkowski functions, Real Anal. Exchange 39 (2013/2014), 15–32.Search in Google Scholar

[6] Menkyna, R.: On representations of Baire one functions as the sum of lower and upper semicontinuous functions, Real Anal. Exchange 38 (2012/2013), 169–176.Search in Google Scholar

[7] Szczuka, P.: Maximums of strong Światkowski functions, Math. Slovaca 52 (2002), 541–548.Search in Google Scholar

Received: 2014-10-7
Accepted: 2015-3-30
Published Online: 2017-2-28
Published in Print: 2017-2-1

© 2017 Mathematical Institute Slovak Academy of Sciences