On functions of the first Baire class with the Darboux property
Abstract
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 each
subinterval of the set.
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Published
2017-04-25
How to Cite
Safonov, V. M. (2017). On functions of the first Baire class with the Darboux property. Transactions of Institute of Mathematics, the NAS of Ukraine, 14(1), 222–229. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/115
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Research papers