Comparison of Some Subfamilies of Functions Having The Baire Property
, oraz | 04 sie 2016
Tatra Mountains Mathematical Publications
Real Functions '15 — Measure Theory, Real Functions, General Topology. Editors: J. Borsík, 2016.
O artykule
Data publikacji: 04 sie 2016
Zakres stron: 151 - 159
Otrzymano: 19 lis 2015
DOI: https://doi.org/10.1515/tmmp-2016-0013
Słowa kluczowe
© 2016
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
We prove that the family Q of quasi-continuous functions is a strongly porous set in the space Ba of functions having the Baire property. Moreover, the family DQ of all Darboux quasi-continuous functions is a strongly porous set in the space DBa of Darboux functions having the Baire property. It implies that each family of all functions having the A-Darboux property is strongly porous in DBa if A has the (∗)-property.