On the relations between discrete continuity, quasicontinuity and pointwise discontinuity
1 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Department of Mathematical Problems of Management and Cybernetics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
pointwise discontinuity
Abstract
An example of such topological spaces ___ is given, such that every discrete continuous mapping ____ is quasicontinuous, and some discrete continuous mapping _____ is everywhere discontinuous. At the same time, an example of a discrete continuous function ____ is constructed, which is not quasicontinuous at any point, and therefore is everywhere discontinuous.
Cite
- ACS Style
- Maslyuchenko, V.K.; Filipchuk, O.I. On the relations between discrete continuity, quasicontinuity and pointwise discontinuity. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Maslyuchenko VK, Filipchuk OI. On the relations between discrete continuity, quasicontinuity and pointwise discontinuity. Bukovinian Mathematical Journal. 2018; 1(421).
- Chicago/Turabian Style
- Volodymyr Kyrylovych Maslyuchenko, Olga Igorivna Filipchuk. 2018. "On the relations between discrete continuity, quasicontinuity and pointwise discontinuity". Bukovinian Mathematical Journal. 1 no. 421.
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