Comparison of Some Subfamilies of Functions Having The Baire Property
, and | Aug 04, 2016
Tatra Mountains Mathematical Publications
Real Functions '15 — Measure Theory, Real Functions, General Topology. Editors: J. Borsík, 2016.
About this article
Published Online: Aug 04, 2016
Page range: 151 - 159
Received: Nov 19, 2015
DOI: https://doi.org/10.1515/tmmp-2016-0013
Keywords
© 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.