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Comparison of some subfamilies of functions having the Baire property

In: Tatra Mountains Mathematical Publications, vol. 65, no. 1
Gertruda Ivanova - Aleksandra Karasińska - Elżbieta Wagner-Bojakowska
Detaily:
Rok, strany: 2016, 151 - 159
Kľúčové slová:
Darboux property, Baire property, quasi-continuous functions, porous set
O článku:
We prove that the family $\mathcal Q$ of quasi-continuous functions is a strongly porous set in the space $\mathcal{B}a$ of functions having the Baire property. Moreover, the family $\mathcal{DQ}$ of all Darboux quasi-continuous functions is a strongly porous set in the space $\mathcal{DB}a$ of Darboux functions having the Baire property. It implies that each family of all functions having the $\mathcal{A}$-Darboux property is strongly porous in $\mathcal{DB}a$ if $\mathcal A$ has the $(*)$-property
Ako citovať:
ISO 690:
Ivanova, G., Karasińska, A., Wagner-Bojakowska, E. 2016. Comparison of some subfamilies of functions having the Baire property. In Tatra Mountains Mathematical Publications, vol. 65, no.1, pp. 151-159. 1210-3195.

APA:
Ivanova, G., Karasińska, A., Wagner-Bojakowska, E. (2016). Comparison of some subfamilies of functions having the Baire property. Tatra Mountains Mathematical Publications, 65(1), 151-159. 1210-3195.