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Comparison of Some Subfamilies of Functions Having The Baire Property

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Aug 04, 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.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics