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math.GN2019★ 4 cited
Approximate Fixed Point Properties in Digital Topology
Laurence Boxer
We study the approximate fixed point property (AFPP) for continuous single-valued functions and for continuous multivalued functions in digital topology. We extend what is known ab…
math.GN2016★ 1 cited
Generalized Normal Product Adjacency in Digital Topology
Laurence Boxer
We study properties of Cartesian products of digital images for which adjacencies based on the normal product adjacency are used. We show that the use of such adjacencies lets us o…
math.GN2016
Fundamental Groups and Euler Characteristics of Sphere-like Digital Images
Laurence Boxer, P. Christopher Staecker
The current paper focuses on fundamental groups and Euler characteristics of various digital models of the 2-dimensional sphere. For all models that we consider, we show that the f…