On some subclasses of the family of Darboux Baire 1 functions

• Autorzy: Ivanova G. , Wagner-Bojakowska E.

Identyfikatory

DOI

http://dx.doi.org/10.7494/OpMath.2014.34.4.777

• Języki publikacji: EN

Abstrakty

EN

We introduce a subclass of the family of Darboux Baire 1 functions f : R → R modifying the Darboux property analogously as it was done by Z. Grande in [On a subclass of the family of Darboux functions, Colloq. Math. 17 (2009), 95–104], and replacing approximate continuity with I-approximate continuity, i.e. continuity with respect to the I-density topology. We prove that the family of all Darboux quasi-continuous functions from the first Baire class is a strongly porous set in the space DB1 of Darboux Baire 1 functions, equipped with the supremum metric.

Słowa kluczowe

EN

Darboux property; Baire property; I-approximate continuity; quasi-continuity; strong Świątkowski property

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2014
• Tom: Vol. 34, no. 4
• Strony: 777--788
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Ivanova G.

• University of Łódz Faculty of Mathematics and Computer Science ul. Banacha 22, 90-238 Łódz, Poland

autor

Wagner-Bojakowska E.

• University of Łódz Faculty of Mathematics and Computer Science ul. Banacha 22, 90-238 Łódz, Poland

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