[EN] The investigation of expansive homeomorphisms in metric spaces began with Utz in 1950. Thereafter, several authors have extensively studied this concept for different motivations. In this current article, we study ...
Kumar, Prashant; Sharma, Puneet(Universitat Politècnica de València, 2023-10-02)
[EN] In this paper, we investigate shift spaces arising from a multidimensional graph G. In particular, we investigate nonemptiness and existence of periodic points for a multidimensional shift space. We derive sufficient ...
He, Shi-Yao; Jin, Ying-Ying; Xie, Li-Hong(Universitat Politècnica de València, 2023-10-02)
[EN] In this paper, we introduce some concepts of ★-(quasi)-pseudometric spaces, and give an example which shows that there is a ★-quasi-pseudometric space which is not a quasi-pseudometric space. We also study the conditions ...
Abbas, Mujahid; Anjum, Rizwan; Anwar, Rabia(Universitat Politècnica de València, 2023-10-02)
[EN] In this note, we show that the main result (Theorem 3.2) due to Asim et al. (Appl. Gen. Topol., 23(2), 363-376 (2022) https://doi.org/10.4995/agt.2022.17418) is still valid if we remove the assumption of continuity ...
Kieou, Essoyomewè; Todjro, Mawoussi; Mensah, Yaogan(Universitat Politècnica de València, 2023-10-02)
[EN] In this paper, the concept of rough representation of a rough topological group on a Banach space is explored. Mainly, the continuity and the irreducibility of rough representations are studied.