Abstract
It is proven that in large classes of topological spaces each real-valued continuous function on aG δ-setG has an extension to the whole space which is continuous exactly at the points ofG. AmongG δ-spaces this property characterizes the almost resolvable normal spaces.
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Landers, D., Rogge, L. Discontinuous extensions and almost resolvability. Rend. Circ. Mat. Palermo 50, 334–340 (2001). https://doi.org/10.1007/BF02844989
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DOI: https://doi.org/10.1007/BF02844989