19 citations · 58 across the 9 of their papers we have counts for
11 papers
Equivalent Conditions for Digital Covering Maps
Ali Pakdaman, Mehdi Zakki
In this paper we show that a digital continuous surjection is a digital covering map if and only if it is a local isomorphism. Moreover, we find…
On h-Fibrations
Mehdi Tajik, Behrooz Mashayekhy, Ali Pakdaman
In this paper, we study h-fibrations, a weak homotopical version of fibrations which have weak covering homotopy property. We present some homotopical analogue of the notions relat…
Unique Path Lifting from Homotopy Point of View
Mehdi Tajik, Behrooz Mashayekhy, Ali Pakdaman
The paper is devoted to introduce some notions extending the unique path lifting property from a homotopy viewpoint and to study their roles in the category of fibrations. First, w…
On locally 1-connectedness of quotient spaces and its applications to fundamental groups
Ali Pakdaman, Hamid Torabi, Behrooz Mashayekhy
Let be a locally 1-connected metric space and be connected, locally path connected and compact pairwise disjoint subspaces of . In this paper, we show that…
On the Spanier Groups and Covering and Semicovering Spaces
Hamid Torabi, Ali Pakdaman, Behrooz Mashayekhy
For a connected, locally path connected space , let be a subgroup of the fundamental group of , . We show that there exists an open cover of such t…
On the Existence of Categorical Universal Coverings
Ali Pakdaman, Hamid Torabi, Behrooz Mashayekhy
In this paper, we study necessary and sufficient conditions for the existence of categorical universal coverings using open covers of a given space . As some applications, first…