On Baire classification of strongly separately continuous functions

2015/08/06 by Karlova, Olena
#FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1508.01366

Abstract

We investigate strongly separately continuous functions on a product of topological spaces and prove that if X is a countable product of real lines, then there exists a strongly separately continuous function f:X→\mathbb R which is not Baire measurable. We show that if X is a product of normed spaces X_n, a∈ X and σ(a)=\x∈ X:|\n∈\mathbb N: x_n≠ a_n\|

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