2 papers
math.DS2025
Compact non-uniformizable Li-Yorke chaotic dynamical systems via an example
Mehrnaz Pourattar, Fatemah Ayatollah Zadeh Shirazi
The main aim of this paper is extending the concept of scambled pair and Li--Yorke chaos to non--uniform compact dynamical systems. We show for finite (compact Alexandroff) topolog…
math.GN2025
Closed graph property and Khalimsky spaces
Mehrnaz Pourattar, Fatemah Ayatollah Zadeh Shirazi, Mohammad Reza Mardanbeigi
In the following text for Khalimsky dimensional space we show self--map has closed graph if and only if there exist integers $…