2 papers
math.DS2025
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…
math.GN2023
Uniformizable functional Alexandroff spaces
Fatemah Ayatollah Zadeh Shirazi, Elahe Hakimi, Arezoo Hosseini +1
In the following text we show that the Alexandroff space is uniformizable if and only if the collection of all smallest neighbourhoods is a partition of . Moreover the Alexa…