Limits of sequences of feebly-type continuous functions



Abstract

We consider the following families of real-valued functions defined on ℝ2: feebly continuous functions (FC), very feebly continuous functions (VFC), and two-feebly continuous functions (TFC). It is known that the inclusions FC ⊂ VFC ⊂ TFC are proper. We study pointwise and uniform limits of sequences with terms taken from these families.


Keywords

functions in two variables; feebly continuity; very feebly continuity; two-feebly continuity; pointwise limit; topology of uniform convergence

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3. I. Leader, A note on feebly continuous functions, Topology Appl. 156 (2009), no. 16, 2629–2631.
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Published : 2020-07-09


BalcerzakM., NatkaniecT., & TerepetaM. (2020). Limits of sequences of feebly-type continuous functions. Annales Mathematicae Silesianae, 34(1), 27-35. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13627

Marek Balcerzak  marek.balcerzak@p.lodz.pl
Instytut Matematyki, Politechnika Łódzka  Poland
https://orcid.org/0000-0003-3808-7706
Tomasz Natkaniec 
Instytut Matematyki, Wydział Matekatyki, Fizyki i Informatyki, Uniwersytet Gdański  Poland
Małgorzata Terepeta 
Centrum Nauczania Matematyki i Fizyki oraz Instytut Matematyki, Politechnika Łódzka  Poland



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