Comparison of Some Subfamilies of Functions Having The Baire Property
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04. Aug. 2016
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Online veröffentlicht: 04. Aug. 2016
Seitenbereich: 151 - 159
Eingereicht: 19. Nov. 2015
DOI: https://doi.org/10.1515/tmmp-2016-0013
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© 2016
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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.