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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
 et 
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
  
09 juil. 2020
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Publié en ligne: 09 juil. 2020
Pages: 27 - 35
Reçu: 14 oct. 2019
Accepté: 03 juin 2020
DOI: https://doi.org/10.2478/amsil-2020-0011
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© 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.

Langue:
Anglais
Périodicité:
2 fois par an
Sujets de la revue:
Mathématiques, Mathématiques générales
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