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A Separately Continuous Function Not Somewhat Continuous

Wojciech Bielas
Wojciech Bielas
   | 11 oct. 2021
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Publié en ligne: 11 oct. 2021
Pages: 26 - 29
Reçu: 08 juil. 2021
Accepté: 26 sept. 2021
DOI: https://doi.org/10.2478/amsil-2021-0013
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© 2021 Wojciech Bielas, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

eISSN:
2391-4238
Langue:
Anglais
Périodicité:
2 fois par an
Sujets de la revue:
Mathematics, General Mathematics
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