In: Mathematica Slovaca, vol. 66, no. 1
Gertruda Ivanova - Elżbieta Wagner-Bojakowska
Detaily:
Rok, strany: 2016, 79 - 88
Kľúčové slová:
Darboux property, strong Świątkowski property, Baire property, $\mathcal{I}$-approximate continuity, quasi-continuous functions, porous set
O článku:
We introduce some family of functions $f:\mathbb{R}\rightarrow\mathbb{R}$ modifying Darboux property analogously as it was done in [GRANDE, Z.: On a subclass of the family of Darboux functions, Colloq. Math. 117 (2009), 95–104], and changing approximate continuity with $\mathcal{I}$-approximate continuity, i.e. continuity with respect to the $\mathcal{I}$-density topology. We prove that our family is a strongly porous set in the space of Darboux functions having the Baire property and that each function from our family is quasi-continuous.
Ako citovať:
ISO 690:
Ivanova, G., Wagner-Bojakowska, E. 2016. On some modification of Darboux property. In Mathematica Slovaca, vol. 66, no.1, pp. 79-88. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0117
APA:
Ivanova, G., Wagner-Bojakowska, E. (2016). On some modification of Darboux property. Mathematica Slovaca, 66(1), 79-88. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0117
O vydaní:
Publikované: 1. 2. 2016