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

Open Access
|Nov 2012

References

  1. [AW] AVERSA, V.-WILCZY´NSKI, W.: Ψ-density topology for discontinuous regular
  2. functions, Atti Sem. Mat. Fis. Univ. Modena XLVIII (2000), 473-479.
  3. [B] BRUCKNER, A. M.: Differentiation of Real Functions, in: Lecture Notes in Math., Vol. 659, Springer-Verlag, Berlin, 1978.10.1007/BFb0069821
  4. [E] ENGELKING, R.: General Topology. PWN, Warszawa, 1989.
  5. [F] FILIPCZAK, M.: On ordinary ψ-density topology on the plane, University of _L´od´z (preprint).
  6. [FH] FILIPCZAK, M.-HEJDUK, J.: On topologies associated with the Lebesgue measure, Tatra Mt. Math. Publ. 28 (2004), 187-197.
  7. [G] GOFFMAN, C.: Real Functions. Rinehart, New York, 1960.
  8. [L] LORANTY, A.: Separation axiom of the density type topologies, Reports on Real Analysis, Conference at Rowy 2003, 119-128.
  9. [_L] _LOJASIEWICZ, S.: An Introduction to the Theory of Real Functions, Willey, Chichester, UK, 1988.
  10. [P-WS] PRUS-WI´SNIOWSKI, F.-SZKIBIEL, G.: Ordinary discontinuities of approximately continuous functions, Acta Math. Pomeranica 4 (1998), 19-22.
  11. [S] SIERPI ´NSKI, W.: Oeuvres Choisies T. 2. PWN, Warszawa, 1975.
  12. [TW-B] TEREPETA, M.-WAGNER-BOJAKOWSKA, E.: Ψ-density topologies, Rend. Circ. Mat. Palermo 48 (1999), 451-476.10.1007/BF02844336
  13. [W1] WILCZY´NSKI,W.: Density topologies, in: Handbook ofMeasure Theory (E. Pap, ed.) Elsevier, North-Holland, Amsterdam, 2002, pp. 675-702.10.1016/B978-044450263-6/50016-6
  14. [W2] WILCZY´NSKI, W.: The set of points of discontinuity of I-approximately continuous functions (in preparation).
  15. [WA] WILCZY´NSKI, W.-AVERSA, V.: Simple density topology, Rend. Circ. Mat. Palermo (2) 53 (2004), 344-352.10.1007/BF02875727
  16. [WW] WILCZY´NSKI, W.-WOJDOWSKI, W.: Complete density topology, Indag. Math. (N.S.) 18 (2007), 295-303.10.1016/S0019-3577(07)80024-3
DOI: https://doi.org/10.2478/v10127-009-0052-3 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 115 - 127
Published on: Nov 12, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year

© 2012 Gražyna Horbaczewska, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.