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Compositions of $ρ$-lower continuous functions

In: Tatra Mountains Mathematical Publications, vol. 76, no. 2
Anna Kamińska - Stanis­ław Kowalczyk - Małgorzata Turowska

Details:

Year, pages: 2020, 35 - 52
Language: eng
Keywords:
approximately continuous functions, $\varrho$-lower continuous functions, compositions, Zahorski Theorem
Article type: Mathematics - Real Functions
Document type: Scientific papper
About article:
In the paper some properties of compositions of $ρ$-lower continuous functions are presented. We will show conditions for a function and for a homeomorphism $f\colon I\to I$ under which $g\circ f$ is $ρ$-lower continuous for each $ρ$-lower continuous function $g\colon I\to\mathbb{R}$. Some relevant properties will be discussed.
How to cite:
ISO 690:
Kamińska, A., Kowalczyk, S., Turowska, M. 2020. Compositions of $ρ$-lower continuous functions. In Tatra Mountains Mathematical Publications, vol. 76, no.2, pp. 35-52. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0016

APA:
Kamińska, A., Kowalczyk, S., Turowska, M. (2020). Compositions of $ρ$-lower continuous functions. Tatra Mountains Mathematical Publications, 76(2), 35-52. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0016
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 20. 10. 2020
Rights:
The Creative Commons Attribution-NC-ND 4.0 International Public License