Compositions of ϱ-Lower Continuous Functions-Reference-Cited by-同舟云学术

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Compositions of ϱ-Lower Continuous Functions

Published:2020-11-04 Issue:1 Volume:76 Page:35-52
ISSN:1210-3195
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Kamińska Anna¹,Kowalczyk Stanisław¹,Turowska Małgorzata¹

Affiliation:

1. Institute of Exact and Technical Sciences , Pomeranian University in Słupsk , Słupsk , Poland

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2020-0016

Reference7 articles.

1. [1] BIENIAS, M.—GŁĄB, S.—WILCZYŃSKI, W.: Cardinality of sets of -upper and -lower continuous functions, Bull. Soc. Sci. Lett. Łódź Ser. Rech. Deform. 64 (2014), 71–80.

2. [2] BRUCKNER, A. M.: Density-preserving homeomorphisms and a theorem of Maximoff, Quart. J. Math. Oxford Ser. 2 21 (1970), 337–347.10.1093/qmath/21.3.337

3. [3] BRUCKNER, A. M.: Differentiation of Real Functions. In: Lecture Notes in Math. Vol. 659, Springer-Verlag, Berlin, 1978.

4. [4] KOWALCZYK, S.: Compositions of ϱ-upper continuous functions, Math. Slovaca 66 (2016), 585–600.10.1515/ms-2015-0162

5. [5] KOWALCZYK, S.—NOWAKOWSKA, K.: A note on -upper continuous functions, Tatra Mt. Math. Publ. 44 (2009), 153–158.

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