We construct a separately continuous function f:ℚ×ℚ→[0,1] and a dense subset D⊆ℚ×ℚ such that f[D] is not dense in f[ℚ×ℚ], in other words, f is separately continuous and not somewhat (feebly) continuous.
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Vol. 36 No. 1 (2022)
Published: 2022-03-30