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RISOn the Whisker Topology on Fundamental Group
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....
On Topologized Fundamental Groups with Small Loop Transfer Viewpoints
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, $\\pi_{1}^{qtop}(X,x_{0})$ and $\\pi_{1}^{wh}(X,x_{0...
On strong small loop transfer spaces relative to subgroups of fundamental groups
which the whisker topology agrees with the lasso topology on X˜H. Also, we study the relationship between open subsets of π1wh(X,x0) and π1l(X,x0). Finally, we give several examples to justify the definition and study of strong H-SLT spaces when H is a...
On Open Subgroups of Topologized Fundamental Group
the fundamental group equipped with the
compact-open topology or the Whisker topology. Moreover, we present some conditions
under which generalized coverings, semicoverings and coverings are equal....
Small Loop Transfer Spaces with Respect to Subgroups of Fundamental Groups
the whisker topology agrees with the quotient of compact-open topology on $\\widetilde{X}_{H}$. Also, we study the relationship between open subsets of $\\pi_{1}^{wh}(X,x_{0})$ and $\\pi_{1}^{qtop}(X,x_{0})$....