Fatemeh Ebrahimifar

collaborators

6 papers

math.GN2018

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 $A$ (Alexandroff square), $O$ (unit square $[0, 1] \times [0, 1]$ with lexicographic order topology) and $\mathbb U…

math.FA2018

Is there any nontrivial compact generalized shift operator on Hilbert spaces?

Fatemah Ayatollah Zadeh Shirazi, Fatemeh Ebrahimifar

In the following text for cardinal number $τ > 0$ , and self--map $φ : τ \to τ$ we show the generalized shift operator $σ_{φ} (ℓ^{2} (τ)) \subseteq ℓ^{2} (τ)$ (where $σ_φ((x_α)_{α<τ})=(x_{φ(α)…

math.DS2017

On generalized shift transformation semigroups

Fatemah Ayatollah Zadeh Shirazi, Fatemeh Ebrahimifar

In the following text we prove that for finite discrete $X$ with at least two elements and infinite $Γ$ , the generalized shift transformation semigroup $(S, X^{Γ})$ is equi…

math.GN2017

Indicator sequences and indicator topologies of Fort transformation groups

Fatemah Ayatollah Zadeh Shirazi, Fatemeh Ebrahimifar

In the following text we prove that there exists a Fort transformation group with indicator sequence $(p_{0}, \dots, p_{n})$ if and only if $0 = p_{0} \leq p_{1} \leq \dots \leq p_{n} = 1$ , moreover…

math.DS2017

On a class between Devaney chaotic and Li-Yorke chaotic generalized shift dynamical systems

Fatemah Ayatollah Zadeh Shirazi, Fatemeh Ebrahimifar, Maryam Hagh Jooyan +1

In the following text, for finite discrete $X$ with at least two elements, nonempty countable $Γ$ , and $φ : Γ \to Γ$ we prove the generalized shift dynamical system $(X^{Γ}, σ_{φ})$ is dens…

math.AT2017

On special subgroups of fundamental group

Fatemah Ayatollah Zadeh Shirazi, Fatemeh Ebrahimifar, Mohammad Ali Mahmoodi

Suppose $α$ is a nonzero cardinal number, $I$ is an ideal on arc connected topological space $X$ , and $P_{I}^{α} (X)$ is the subgroup of $π_{1} (X)$ (the fi…