Classification of separately continuous functions with values in $σ$-metrizable spaces

Olena Karlova

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arXiv · 1407.5742

Classification of separately continuous functions with values in $σ$-metrizable spaces

Olena Karlova

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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 $σ$-metrizable space with a special stratification, is a pointwise limit of continuous functions.

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Olena Karlova. 2014-07-22. Classification of separately continuous functions with values in $σ$-metrizable spaces. https://arxiv.org/abs/1407.5742

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