A separate continuous function not somewhat continuous

Wojciech Bielas

Published: 2021-10-11

Vol. 36 No. 1 (2022)

A separate continuous function not somewhat continuous

Wojciech Bielas

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.

Keywords:

separate continuity , somewhat continuous function

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Bielas, W. (2021). A separate continuous function not somewhat continuous. Annales Mathematicae Silesianae, 36(1), 26–29. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13458

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Vol. 36 No. 1 (2022)
Published: 2022-03-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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