On the rigid covering fibrations

In 2002, Biss investigated on a kind of fibration which is called rigid covering fibration with properties similar to covering spaces. In this talk we obtain a relation between arbitrary topological spaces and its rigid covering fibrations. Specially, we show that if there exists a morphism $f:E_H\longrightarrow E_G$ in the category of rigid .covering fibrations of $X$, then $H$ is a closed subgroup of $G$ as subgroups of $\pi_1^{qtop}(X).$