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Comparison of Some Subfamilies of Functions Having The Baire Property

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Tatra Mountains Mathematical Publications
Real Functions '15 — Measure Theory, Real Functions, General Topology. Editors: J. Borsík, 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.

eISSN:
1210-3195
Langue:
Anglais
Périodicité:
3 fois par an
Sujets de la revue:
Mathematics, General Mathematics