31 research outputs found
Variants on Digital Covering Maps
SE Han's paper [11] discusses several variants of digital covering maps. We
show several equivalences among these variants and discuss shortcomings in
Han's paper
Remarks on digital deformation
The paper [5] defines a notion of digital deformation and claims to prove that if (X, p) is k-deformable into (A, p), then these two pointed images have isomorphic fundamental groups. We present a simple counterexample to this claim
Common Fixed Point Results for Compatible Map in Digital Metric Spaces
The aim of this paper is to define the concept of compatible maps and its variants in the setting of digital metric spaces and establish some common fixed point results for these maps. Also, an application of the proposed results is quoted in this note