On Some Density Topology with Respect to an Extension of Lebesgue Measure

[1] KHARAZISHVILI, A. B.: A nonseparable extension of the Lebesgue measure without new nullsets, Real Anal. Exchange 33 (2007/2008), 259–268.10.14321/realanalexch.33.1.0259Search in Google Scholar

[2] HEJDUK, J.—LORANTY, A.—WIERTELAK, R.: J-approximately continuous functions, Tatra Mt. Math. Publ. 62 (2015), 45–55.Search in Google Scholar

[3] HEJDUK, J.—WIERTELAK, R.: On the abstract density topologies generated by lower and almost lower density operators, in: Traditional and present-day topics in real analysis (M. Filipczak et al., eds.), Łódź University Press, Łódź 2013, pp. 431–447.10.18778/7525-971-1.25Search in Google Scholar

[4] HEJDUK, J.—WIERTELAK, R.: On the generalization of the density topologies on the real line, Math. Slovaca 64 (2014), 1267–1276.10.2478/s12175-014-0274-ySearch in Google Scholar

[5] HEJDUK, J.—WIERTELAK, R.: On some properties of J-approximately continuous functions, Math. Slovaca (to appear).Search in Google Scholar

[6] MARCZEWSKI, E.: Sur l’extension de la measure lebesguienne, Fund. Math. 25 (1935), 551–558.10.4064/fm-25-1-551-558Search in Google Scholar

[7] MARTIN, N. F. G.: Generalized condensation points, Duke Math. J. 28 (1961), 507–5014.Search in Google Scholar

[8] OXTOBY, J. C.: Measure and Category, 2nd edition. Graduate Texts in Math. Vol. 2, Springer-Verlag, Berlin, 1980.10.1007/978-1-4684-9339-9Search in Google Scholar