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Possible heights of Alexandroff square transformation groups
Fatemah Ayatollah Zadeh Shirazi, Fatemeh Ebrahimifar, Reza Yaghmaeian +1
In the following text we compute possible heights of (Alexandroff square), (unit square with lexicographic order topology) and $\mathbb U…
On Li--Yorke chaotic transformation groups modulo an ideal
Mehrnaz Pourattar, Fatemah Ayatollah Zadeh Shirazi
In the following text we introduce the notion of chaoticity modulo an ideal in the sense of Li-Yorke in topological transformation semigroups and bring some of its elementary prope…
Set-theoretical entropies of Euler's totient function and other number theoretical special functions
Fatemah Ayatollah Zadeh Shirazi, Reza Yaghmaeian
In the following text we show set--theoretical entropy of Euler's totient function and contravariant set--theoretical entropy of Dedekind psi function are zero. Also contravariant…
Top-designs in the category of Fort spaces
Mehrnaz Pourattar, Fatemah Ayatollah Zadeh Shirazi
In infinite topological Fort space , for nonempty subsets of in the following text we answer to this question "Is there any and Top--design of type …