Comparison of some subfamilies of functions having the Baire property
Ivanova, Gertruda ; Karasińska, Aleksandra ; Wagner-Bojakowska, Elżbieta
Tatra Mountains Mathematical Publications, Tome 65 (2016), / Harvested from Mathematical Institute

We prove that the family$\mathcal {Q}$ of quasi-continuous functions is a strongly porous set inthe space $\mathcal{B}a$ of functions having the Baire property. Moreover, the family $\mathcal{DQ}$ of allDarboux quasi-continuous functions is a strongly porous set in the space $\mathcal{DB}a$ of Darbouxfunctions having the Baire property. It implies that each family of all functions havingthe $\mathcal{A}$-Darboux property is strongly porous in $\mathcal{DB}a$, if ${A}$ has the (\ast{*})-property .

Publié le : 2016-01-01
DOI : https://doi.org/10.2478/tatra.v65i0.400
@article{400,
     title = {Comparison of some subfamilies of functions having the Baire property},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {65},
     year = {2016},
     doi = {10.2478/tatra.v65i0.400},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/400}
}
Ivanova, Gertruda; Karasińska, Aleksandra; Wagner-Bojakowska, Elżbieta. Comparison of some subfamilies of functions having the Baire property. Tatra Mountains Mathematical Publications, Tome 65 (2016) . doi : 10.2478/tatra.v65i0.400. http://gdmltest.u-ga.fr/item/400/