This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
BRUCKNER, A. M.: Differentiation of Real Functions. Lecture Notes in Math. Vol. 659, Springer Verlag, Berlin, 1978.Search in Google Scholar
FILIPCZAK, M.—HEJDUK, J.: On topologies associated with the Lebesgue measure, Tatra Mt. Math. Publ. 28 (2004), 187–197.Search in Google Scholar
HASHIMOTO, H.: On the *-topology and its application, Fund. Math. 91 (1976), 5–10.Search in Google Scholar
HEJDUK, J.—WIERTELAK, R.: On the generalization of density topologies on the real line, Math. Slovaca 64 (2014), no. 5, 1267–1276.Search in Google Scholar
IVANOVA, G.—KARASIŃSKA, A.—WAGNER-BOJAKOWSKA, E.: Families of Darboux functions and topology having (𝒥 ∗)-property, Topology Appl. 258 (2019), 534–542.Search in Google Scholar
IVANOVA, G.—WAGNER-BOJAKOWSKA, E.: On some modification of Świątkowski property, Tatra Mt. Math. Publ. 58 (2014), 101–109.Search in Google Scholar
IVANOVA, G.—WAGNER-BOJAKOWSKA, E.: On some modification of Darboux property, Math. Slovaca 66 (2016), no. 1, 79–88.Search in Google Scholar
IVANOVA, G.—WAGNER-BOJAKOWSKA, E.: Porous subsets in the space of functions having the Baire property, Math. Slovaca 67 (2017), no. 6, 1333–1344.Search in Google Scholar
KOWALCZYK, S.—TUROWSKA, M.: Methods of comparison of families in porosity terms, Georgian Math. J. 26 (2019), no. 4, 643–654.Search in Google Scholar
KUCNER, J.— PAWLAK, R.— ŚWIĄTEK, B.: On small subsets of the space of Darboux functions, Real Anal. Exchange 25 (1999), no. 1, 343–358.Search in Google Scholar
LEVINE, N.: Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36–41.Search in Google Scholar
NEUBRUNNOVÁ, A.: On certain generalizations of the notion of continuity, Matematický časopis 23 (1973), no. 4, 374–380.Search in Google Scholar
O’MALLEY, R. J.: Approximately differentiable functions: The r topology, Pacific J. Math. 72 (1977), 207–222.Search in Google Scholar
POREDA, W.— WAGNER-BOJAKOWSKA, E.— WILCZYŃSKI, W.: A category analogue of the density topology, Fund. Math. 125 (1985), 167–173.Search in Google Scholar
STROBIN, F.—WIERTELAK, R.: Algebrability of 𝒮-continuous functions, Topology Appl. 231 (2017), 373–385.Search in Google Scholar
STROBIN, F.—WIERTELAK, R.: On a generalization of density topologies on the real line, Topology Appl. 199 (2016), 1–16.Search in Google Scholar
WIDZIBOR, M.: On the Topologies Generated by Regular Sequences of Measurable Sets. Doctoral Thesis, Łodź University Press, 2021.Search in Google Scholar
WIERTELAK, R.: A generalization of density topology with respect to category, Real Anal. Exchange 32 (2006/2007), no. 1, 273–286.Search in Google Scholar
ZAJIČEK, L.: Porosity and σ-porosity, Real Anal Exchange 13 (1987-88), 314–350.Search in Google Scholar