3 papers
math.GN2026
A Descriptive Perspective on Devaney's Chaos and Some Results on Topologically Conjugate Systems
Fatih Ucan, Tane Vergili
In this study, Devaney's chaos conditions are revisited within the framework of descriptive proximity. The concepts of descriptive transitivity, the density of descriptive periodic…
math.RA2025
Approximately Prime Rings and Prime Ideals
Maram Almahariq, James Francis Peters, Tane Vergili
This article focuses on approximately prime rings and approximately prime ideals in proximal relator spaces, especially in descriptive proximity spaces. In particular, we define so…
math.DS2025
Indefinite Descriptive Proximities Inherent in Dynamical Systems. An Axiomatic Approach
James Francis Peters, Tane Vergili, Fatih Ucan +1
This paper introduces indefinite proximities inherent in the collection of physical objects found in a dynamical system. Axiomatically, these indefinite proximities lead to a new f…