<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 <italic>f</italic> : <italic>I</italic> → <italic>I</italic> under which <italic>g</italic> ◦ <italic>f</italic> is ϱ-lower continuous for each ϱ-lower continuous function <italic>g</italic> : <italic>I</italic> → 𝕉. Some relevant properties will be discussed.</p></abstract>

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 : I → I under which g ◦ f is ϱ-lower continuous for each ϱ-lower continuous function g : I → 𝕉. Some relevant properties will be discussed.

Compositions of ϱ-Lower Continuous Functions

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Compositions of ϱ-Lower Continuous Functions"}

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 :...

Compositions of ϱ-Lower Continuous Functions

Published Online: Nov 04, 2020

Page range: 35 - 52

Received: Nov 11, 2019

DOI: https://doi.org/10.2478/tmmp-2020-0016

Keywords
approximately continuous functions, ϱ-lower continuous functions, compositions, Zahorski Theorem

© 2020 Anna Kamińska et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Compositions of ϱ-Lower Continuous Functions

Published Online: Nov 04, 2020

Page range: 35 - 52

Received: Nov 11, 2019

DOI: https://doi.org/10.2478/tmmp-2020-0016

Keywordsapproximately continuous functions, ϱ-lower continuous functions, compositions, Zahorski Theorem

© 2020 Anna Kamińska et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
approximately continuous functions, ϱ-lower continuous functions, compositions, Zahorski Theorem