Recent papers have discussed homotopy properties of digital images. Most of the papers concerned with this topic restrict
their attention to bounded digital images, and there are significant errors in some of the literature concerned with unbounded
digital images. In this paper, we examine fundamental groups of unbounded digital images.
Keywords digital image - digitally continuous - homotopy - fundamental group - 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 holds a Bachelor’s degree in Mathematics from the
University of Michigan; Master’s and PhD in Mathematics from the University of Illinois; and a Master’s in Computer Science
from the State University of New York at Buffalo. Dr. Boxer’s research interests are in digital topology and algorithms.