On functions of the first Baire class with the Darboux property

The Baire class one functions with the Darboux property and a set of countable levels of the second category are researched on closed interval.We proved that there exists a dense open set on this interval such that nowhere constant function is strictly monotonic and continuous on eachsubinterval of...

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Datum:2017
Hauptverfasser: Safonov, V. M., Сафонов, В. М.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Інститут математики НАН України 2017
Online Zugang:https://trim.imath.kiev.ua/index.php/trim/article/view/115
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Назва журналу:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine