A characterization of the discontinuity point set of strongly separately continuous functions on products

Year, pages: 2016, 1475 - 1486

We study properties of strongly separately continuous mappings defined on subsets of products of topological spaces equipped with the topology of pointwise convergence. In particular, we give a necessary and sufficient condition for a strongly separately continuous mapping to be continuous on a product of an arbitrary family of topological spaces. Moreover, we characterize the discontinuity point set of strongly separately continuous function defined on a subset of countable product of finite-dimensional normed spaces.

Karlova, O., Mykhaylyuk, V. 2016. A characterization of the discontinuity point set of strongly separately continuous functions on products. In Mathematica Slovaca, vol. 66, no.6, pp. 1475-1486. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0237

Karlova, O., Mykhaylyuk, V. (2016). A characterization of the discontinuity point set of strongly separately continuous functions on products. Mathematica Slovaca, 66(6), 1475-1486. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0237