4 papers
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…
Closed graph property in Alexandroff spaces
Fatemah Ayatollah Zadeh Shirazi, Sajjad Moradi Chaleshtori
In the following text we show if is an Alexandroff space, then has closed graph if and only if it has constant closed value on each connected component of . Moreo…
Topological Stability and Shadowing in Uniform Transformation Semigroups Modulo an Ideal
F. Ayatollah Zadeh Shirazi, E. Hakimi, A. Hosseini +1
In this paper, we introduce and analyze several key dynamical properties-namely shadowing modulo an ideal, expansivity modulo an ideal, and topological stability modulo an ideal-wi…
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 $…