Classification of separately continuous functions with values in $\sigma$-metrizable spaces
General Topology
2014-07-23 v1
Abstract
We prove that every vertically nearly separately continuous function defined on a product of a strong PP-space and a topological space and with values in a strongly -metrizable space with a special stratification, is a pointwise limit of continuous functions.
Cite
@article{arxiv.1407.5742,
title = {Classification of separately continuous functions with values in $\sigma$-metrizable spaces},
author = {Olena Karlova},
journal= {arXiv preprint arXiv:1407.5742},
year = {2014}
}