The set __ of discontinuity points of differentiated continuous mappings __ with values in the Sorgenfrey line _ is studied. In particular, it is shown that __ if the space __ is connected or locally connected. Further, for an arbitrary subset __ of a rational line __ and a point __, a differentiated continuous function __ is constructed. It is also found that there exists a differentiated continuous function __ such that ___ . Similar results hold for the mappings __
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7. Maslyuchenko V.K., Fotii O.G. Continuous from below mappings with compact values in the Sorgenfrey line // Mat. studii. – 2005. – 24, No. 2. – P. 203 - 206.
- ACS Style
- Maslyuchenko, V.K.; Myronyk, O.D. Sorgenfrey Line and Differentiated Continuous Mappings. Bukovinian Mathematical Journal. 2016, 2
- AMA Style
- Maslyuchenko VK, Myronyk OD. Sorgenfrey Line and Differentiated Continuous Mappings. Bukovinian Mathematical Journal. 2016; 2(1).
- Chicago/Turabian Style
- Volodymyr Kyrylovych Maslyuchenko, Oksana Dmytrivna Myronyk. 2016. "Sorgenfrey Line and Differentiated Continuous Mappings". Bukovinian Mathematical Journal. 2 no. 1.