Let $H$ be a subgroup of $\\pi_{1}(X,x_{0})$. In this paper, we extend the concept of $X$ being SLT space to $H$-SLT space at $x_0$. First, we show that the fibers of the endpoint projection $p_{H}:\\widetilde {X}_{H}\\rightarrow ...

In this paper, by introducing some kind of small loop transfer spaces at a point, we study the behavior of topologized fundamental groups with the compact-open topology and the whisker topology, $\\pi_{1}^{qtop}(X,x_{0})$ ...

Let H be a subgroup of the fundamental group π1(X,x0). In this paper, first, we give a positive answer to a problem presented by Brodskiy et al. in [8, Problem 4.8]. Second, by extending the concept of strong SLT space to ...

In this talk we are interested to focus on subgroups of topologized fundamental groups and some relationships between generalized covering subgroups and some famous subgroups of the fundamental group equipped with the ...

In this talk we are interested to focus on open subgroups of topologized fundamental groups

and give some equivalent conditions on a topological space to make sure a subgroup of its

topologized fundamental ...

In this talk, after reviewing concepts of compact-open topology, Whisker topology

and Lasso toplogy on fundamental groups, we present some topological properties for

the Whisker topology on a fundamental group.