REMARK ON GENERALIZED UNIVERSAL COVERING SPACE IN DIGITAL COVERING THEORY Han, Sang-Eon;
As a survey-type article, the paper reviews the recent results on a (generalized) universal covering space in digital covering theory. The recent paper  established the generalized universal (2, k)-covering property which improves the universal (2, k)-covering property of . In algebraic topology it is well-known that a simply connected and locally path connected covering space is a universal covering space. Unlike this property, in digital covering theory we can propose that a generalized universal covering space has its intrinsic feature. This property can be useful in classifying digital covering spaces and in studying a shortest k-path problem in data structure.
digital isomorphism;digital covering;simply k-connected;universal covering property;generalized universal covering space;