A Separately Continuous Function Not Somewhat Continuous

Annales Mathematicae Silesianae

Bielas Wojciech¹ 

[1] Institute of Mathematics, University of Silesia in Katowice, Bankowa 14, 40-007Katowice, Poland;

关键词: separate continuity;    somewhat continuous function;    54c08;    54c30;    54g20;   

DOI  :  10.2478/amsil-2021-0013

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown