The set of points of discontinuity of I-approximately continuous functions

• Autorzy: Wilczyński W.
• Języki publikacji: EN

Abstrakty

EN

The paper presents the characterization of the set of points of discontinuity (with respect to the natural topology on the real line) of an I-approximately continuous real function of a real variable. This characterization is formulated in terms of deep I-density topology.

Słowa kluczowe

EN

I-density topology; I-approximate continuity; discontinuity

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 3
• Strony: 539--544
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Wilczyński W.

• University of Łódź Faculty of Mathematics and Computer Science Banacha 22 90-238 Łódź, Poland,

Bibliografia

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• [4] W. Poreda, E. Wagner-Bojakowska, The topology of I-approximately continuous functions, Rad. Mat 2 (1986), 263–277.
• [5] W. Poreda, E. Wagner-Bojakowska, W. Wilczyński, A category analogue of the density topology, Fund. Math. 125 (1989), 167–173.
• [6] W. Sierpiński, Sur une propriété des ensembles Fσ linéaires, Fund. Math. 14 (1929), 216–220.
• [7] B. Thomson, Real Functions, Lecture Notes in Mathematics 1170, Springer-Verlag, 1985.
• [8] L. Zajiček, Alternative definitions of I-density topology, Acta Univ. Carolin. 28 (1987), 57–61.