The set of discontinuity points of l-continuous functions of the first class
1 Institute of Mathematics, University of Silesia in Katowice, Katowice, 40-007, Poland
2 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
discontinuity points, continuous functions
Abstract
We characterize the discontinuity point set of a Baire one function f:ℝd→ℝ" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> such that its restrictions to every line is continuous.
Cite
- ACS Style
- Maslyuchenko, O.V. The set of discontinuity points of l-continuous functions of the first class. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Maslyuchenko OV. The set of discontinuity points of l-continuous functions of the first class. Bukovinian Mathematical Journal. 2018; 1(374).
- Chicago/Turabian Style
- Oleksandr Volodymyrovych Maslyuchenko. 2018. "The set of discontinuity points of l-continuous functions of the first class". Bukovinian Mathematical Journal. 1 no. 374.
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