Cartesian Product of the Universal Covering Property

摘要

The paper (Boxer, J. Math. Imaging Vis. 25:159-171, 2006) introduces the important tool of the universal (2,k)-covering property for classifying digital covering spaces. Even though the study of its Cartesian product property is important in expanding the property, it still remains open. In this paper, investigating various properties of a universal (2,k)-covering, we study a Cartesian product of the universal covering property, which plays an important role in classifying Cartesian products of digital coverings.