Comparison of Some Subfamilies of Functions Having The Baire Property

Ivanova, Gertruda; Karasińska, Aleksandra; Wagner-Bojakowska, Elżbieta

doi:10.1515/tmmp-2016-0013

Abstract

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.

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Comparison of Some Subfamilies of Functions Having The Baire Property

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