Classification of separately continuous mappings with values in o-metrizable spaces

Olena Karlova

Ukraine

Chernivtsi National University

Chernivtsi National University, Department of Mathematical Analysis, Kotsjubyns'koho 2, Chernivtsi 58012, Ukraine

Submitted: 2013-07-29

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Accepted: 2013-07-29

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DOI: https://doi.org/10.4995/agt.2012.1627
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Keywords:

Separately continuous mapping, Strong PP- space, Baire classification, Lebesgue classification

Supporting agencies:

This research was not funded

Abstract:

We prove that every vertically nearly separately continuous mapping defined on a product of a strong PP-space and a topological space and with values in a strongly o-metrizable space with a special stratification, is a pointwise limit of continuous mappings.
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