The paper [9] introduces the important tool of the digital covering space for studying the digital fundamental group. From
a classical construction of algebraic topology [16,17,19], we show the existence of digital universal covering spaces and
their significance for the study of the digital fundamental group.
Keywords digital image - digitally continuous - homotopy - contractible - fundamental group - covering space - digital topology
Laurence Boxer is Professor and past Chair of Computer and Information Sciences at Niagara University, and Research Professor of Computer
Science and Engineering at the State University of New York at Buffalo. He received a Bachelor’s in Mathematics from the University
of Michigan at Ann Arbor; Master’s and PhD in Mathematics from the University of Illinois at Urbana-Champaign; and Master’s
in Computer Science from the State University of New York at Buffalo. Dr. Boxer’s research interests are in the fields of
algorithms and digital topology. He is co-author of Algorithms Sequential and Parallel: A Unified Approach, an innovative
textbook whose second edition is published by Charles River Media.