- Tytuł:
- On some subclasses of the family of Darboux Baire 1 functions
- Autorzy:
-
Ivanova, G.
Wagner-Bojakowska, E. - Powiązania:
- https://bibliotekanauki.pl/articles/255127.pdf
- Data publikacji:
- 2014
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Darboux property
Baire property
I-approximate continuity
quasi-continuity
strong Świątkowski property - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2014, 34, 4; 777-788
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł