Open Access

The set of discontinuities of density-type-approximately continuous functions

Tatra Mountains Mathematical Publications's Cover Image
Tatra Mountains Mathematical Publications
Real Function ’08 Functional Equation, Measures, Integration and Harmonic Analysis

Cite

[AW] AVERSA, V.-WILCZY´NSKI, W.: Ψ-density topology for discontinuous regularSearch in Google Scholar

functions, Atti Sem. Mat. Fis. Univ. Modena XLVIII (2000), 473-479.Search in Google Scholar

[B] BRUCKNER, A. M.: Differentiation of Real Functions, in: Lecture Notes in Math., Vol. 659, Springer-Verlag, Berlin, 1978.10.1007/BFb0069821Search in Google Scholar

[E] ENGELKING, R.: General Topology. PWN, Warszawa, 1989.Search in Google Scholar

[F] FILIPCZAK, M.: On ordinary ψ-density topology on the plane, University of _L´od´z (preprint).Search in Google Scholar

[FH] FILIPCZAK, M.-HEJDUK, J.: On topologies associated with the Lebesgue measure, Tatra Mt. Math. Publ. 28 (2004), 187-197.Search in Google Scholar

[G] GOFFMAN, C.: Real Functions. Rinehart, New York, 1960.Search in Google Scholar

[L] LORANTY, A.: Separation axiom of the density type topologies, Reports on Real Analysis, Conference at Rowy 2003, 119-128.Search in Google Scholar

[_L] _LOJASIEWICZ, S.: An Introduction to the Theory of Real Functions, Willey, Chichester, UK, 1988.Search in Google Scholar

[P-WS] PRUS-WI´SNIOWSKI, F.-SZKIBIEL, G.: Ordinary discontinuities of approximately continuous functions, Acta Math. Pomeranica 4 (1998), 19-22.Search in Google Scholar

[S] SIERPI ´NSKI, W.: Oeuvres Choisies T. 2. PWN, Warszawa, 1975.Search in Google Scholar

[TW-B] TEREPETA, M.-WAGNER-BOJAKOWSKA, E.: Ψ-density topologies, Rend. Circ. Mat. Palermo 48 (1999), 451-476.10.1007/BF02844336Search in Google Scholar

[W1] WILCZY´NSKI,W.: Density topologies, in: Handbook ofMeasure Theory (E. Pap, ed.) Elsevier, North-Holland, Amsterdam, 2002, pp. 675-702.10.1016/B978-044450263-6/50016-6Search in Google Scholar

[W2] WILCZY´NSKI, W.: The set of points of discontinuity of I-approximately continuous functions (in preparation).Search in Google Scholar

[WA] WILCZY´NSKI, W.-AVERSA, V.: Simple density topology, Rend. Circ. Mat. Palermo (2) 53 (2004), 344-352.10.1007/BF02875727Search in Google Scholar

[WW] WILCZY´NSKI, W.-WOJDOWSKI, W.: Complete density topology, Indag. Math. (N.S.) 18 (2007), 295-303.10.1016/S0019-3577(07)80024-3Search in Google Scholar

ISSN:
1210-3195
Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics