In this talk, after reviewing the concept of local homeomorphisms, covering maps and fundamental

groups, first we mention a result on uniqueness of lifting for local homeomorphism. Second, we

prove some of the well-known properties...

In this paper, by reviewing the concept of semicovering maps, we present some conditions under which a local homeomorphism becomes a semicovering map. We also obtain some conditions under which a local homeomorphism is a covering map....

path lifting such as the existence of products and coproducts. Also, we give a brief comparison of these new categories to some categories of the other generalizations of covering maps.\\ Finally, we present two subgroups of the fundamental group...

In this paper, by reviewing the concept of subcovering and semicovering maps, we extend the

notion of subcovering map to subsemicovering map. We present necessary and sufficient condition

for a local homeomorphism ...

with respect to H, strong H-SLT space, we investigate the existence of a covering map for strong H-SLT spaces. Moreover, we show that a semicovering map is a covering map in the presence of strong H-SLT property. Among other things, we present conditions under...

In this paper, by reviewing the concept of subcovering and semicovering maps, we extend the notion of subcovering map to subsemicovering map. We present some necessary or sufficient conditions for a local homeomorphism to ...

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 ...