Abstract
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.
Language: English
Page range: 26 - 29
Submitted on: Jul 8, 2021
|Accepted on: Sep 26, 2021
|Published on: Oct 11, 2021
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Related subjects:
© 2021 Wojciech Bielas, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.