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Limits of Sequences of Feebly-Type Continuous Functions

Marek Balcerzak

Marek Balcerzak

Institute of Mathematics, Lodz University of TechnologyŁódź, Poland
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Balcerzak, Marek
, 
Tomasz Natkaniec

Tomasz Natkaniec

Institute of Mathematics, Faculty of Mathematics, Physics, and Informatics, University of GdańskGdańsk, Poland
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Natkaniec, Tomasz
 and 
Małgorzata Terepeta

Małgorzata Terepeta

Center of Mathematics and Physics, al. Politechniki 11, and Institute of Mathematics, Lodz University of TechnologyŁódź, Poland
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Terepeta, Małgorzata
  
Jul 09, 2020
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Published Online: Jul 09, 2020
Page range: 27 - 35
Received: Oct 14, 2019
Accepted: Jun 03, 2020
DOI: https://doi.org/10.2478/amsil-2020-0011
Keywords
© 2020 Marek Balcerzak et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

We consider the following families of real-valued functions defined on 𝕉2: 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.

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English
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2 times per year
Journal Subjects:
Mathematics, General Mathematics
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