Equivalent Conditions for Digital Covering Maps

Abstract

In this paper we show that a digital $(\kappa ,\lambda )-$continuous surjection $p:(E,\kappa )\to (B,\lambda )$ is a digital covering map if and only if it is a local isomorphism. Moreover, we find a loop criterion for a digital covering map to be an $n$-radius covering. Also, we show that every digitally continuous map with unique path lifting property is a digital covering map if it has no conciliator point.