Limits of Sequences of Feebly-Type Continuous Functions-Reference-Cited by-同舟云学术

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Limits of Sequences of Feebly-Type Continuous Functions

Published:2020-07-01 Issue:1 Volume:34 Page:27-35
ISSN:2391-4238
Container-title:Annales Mathematicae Silesianae
language:en
Short-container-title:

Author:

Balcerzak Marek¹,Natkaniec Tomasz²,Terepeta Małgorzata³

Affiliation:

1. Institute of Mathematics , Lodz University of Technology , Wólczańska 215, 90-924 Łódź , Poland

2. Institute of Mathematics , Faculty of Mathematics, Physics, and Informatics , University of Gdańsk , Wita Stwosza 57, 80-952 Gdańsk , Poland

3. Center of Mathematics and Physics, al. Politechniki 11, and Institute of Mathematics , Wólczańska 215, Lodz University of Technology , 90-924 Łódź Poland

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/amsil-2020-0011

Reference3 articles.

1. [1] M. Balcerzak, T. Natkaniec, and M. Terepeta, Families of feebly continuous functions and their properties, Topology Appl. 272 (2020), 107077, 12 pp.10.1016/j.topol.2020.107077

2. [2] Á. Császár and M. Laczkovich, Discrete and equal convergence, Studia Sci. Math. Hungar. 10 (1975), no. 3, 463–472 (1978).

3. [3] I. Leader, A note on feebly continuous functions, Topology Appl. 156 (2009), no. 16, 2629–2631.

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