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On Semiregularization of Some Abstract Density Topologies Involving Sets Having The Baire Property

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Real Functions '15 — Measure Theory, Real Functions, General Topology. Editors: J. Borsík, 2016.
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[1] CIESIELSKI, K.-LARSON, L.-OSTASZEWSKI, K.: I-density continuous functions, Mem. Amer. Math. Soc. 515 (1994), 133 p.10.1090/memo/0515Search in Google Scholar

[2] HAMLETT, T. R.-JANKOVIĆ, D.- ROSE, D. A.: Lower density topologies, in: Proc. of the 7th Summer Conf. in honor of M. E. Rudin, Papers on General Topology and Appl. (S. Andima et al., eds.), Madison, WI, USA, 1991, Ann. N. Y. Acad. Sci., Vol. 704, The New York Academy of Sciences, New York, NY, 1993, pp. 309-321.10.1111/j.1749-6632.1993.tb52533.xSearch in Google Scholar

[3] HEJDUK, J.: On the regularity of topologies in the family of sets having the Baire property, Filomat 27 (2013), 1291-1295.10.2298/FIL1307291HSearch in Google Scholar

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

[5] HEJDUK, J.-LORANTY, A.-WIERTELAK, R.: On J -continuous functions, Tatra Mt. Math. Publ. (to appear).Search in Google Scholar

[6] 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, ŁódźUniversity Press, 2013, pp. 431-447.10.18778/7525-971-1.25Search in Google Scholar

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

[8] ŁAZAROW, E.: The coarsest topology for I-approximately continuous functions, Comm. Math. Univ. Carolinae 27 (1986), 695-704.Search in Google Scholar

[9] MARTIN, N. F. G.: Generalized condensation points, Duke Math. J. 28 (1961), 507-514.Search in Google Scholar

[10] O’MALLEY, R. J.: Approximately continuous functions which are continuos almost everywhere, Acta. Math. Acad. Scient. Hungarice 33 (1979), 395-402.10.1007/BF01902575Search in Google Scholar

[11] OXTOBY, J. C.: Measure and Category. Springer-Verlag, Berlin, 1987.Search in Google Scholar

[12] POREDA, E. WAGNER-BOJAKOWSKA,: The topology of I-approximately continuous functions, Rad. Math. 2 (1986), 263-267.Search in Google Scholar

[13] WIERTELAK, R.: On the deep I(J)-density topology, Georgian Math. J. 20 (2013), 817-832.10.1515/gmj-2013-0032Search in Google Scholar

[14] WILCZYŃSKI, W.-WOJDOWSKI, W.: A category ψ-density topology, Cent. Eur. J. Math. 9 (2011), 1057-1066.10.2478/s11533-011-0069-0Search in Google Scholar

[15] WOJDOWSKI, W.: Density topologies involving measure and category, Demonstratio Math. 22 (1989), 797-812.Search in Google Scholar

eISSN:
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Langue:
Anglais
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Sujets de la revue:
Mathematics, General Mathematics