Porous subsets in the space of functions having the Baire property

In: Mathematica Slovaca, vol. 67, no. 6

Gertruda Ivanova - Elżbieta Wagner-Bojakowska

Detaily:

Rok, strany: 2017, 1333 - 1344

Kľúčové slová:

Darboux property, strong Świątkowski property, Baire property, quasi-continuity, porosity

DOI: https://doi.org/10.1515/ms-2017-0055

O článku:

The comparison of some subfamilies of the family of functions on the real line having the Baire property in porosity terms is given. We prove that the family of all quasi-continuous functions is strongly porous set in the family of all cliquish functions and that the family of all cliquish functions is strongly porous set in the family of all functions having the Baire property. We prove also that the family of all Świątkowski functions is lower $2/3$-porous set in the family of cliquish functions and the family of functions having the internally Świątkowski property is lower $2/3$-porous set in the family of cliquish functions.

Ako citovať:

ISO 690:

Ivanova, G., Wagner-Bojakowska, E. 2017. Porous subsets in the space of functions having the Baire property. In Mathematica Slovaca, vol. 67, no.6, pp. 1333-1344. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0055

APA:

Ivanova, G., Wagner-Bojakowska, E. (2017). Porous subsets in the space of functions having the Baire property. Mathematica Slovaca, 67(6), 1333-1344. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0055

O vydaní:

Publikované: 27. 11. 2017