8 papers
Remarks on Fixed Point Assertions in Digital Topology, 12
Laurence Boxer
The topic of fixed points in digital metric spaces has drawn yet more publications with assertions that are incorrect, incorrectly proven, trivial, or incoherently stated. We discu…
Corrigendum for Hans Corrigendum
Laurence Boxer
S.E. Hans paper, Remarks on Pseudocovering Spaces in a Digital Topological Setting: A Corrigendum, is meant to address errors in previous papers. However, this paper is also marked…
Remarks on Fixed Point Assertions in Digital Topology, 11
Laurence Boxer
The topic of fixed points in digital metric spaces has drawn yet more publications with assertions that are incorrect, incorrectly proven, trivial, or incoherently stated. We discu…
Algorithms for Dynamic Computational Geometry with Applications
Laurence Boxer
Most of the literature of computational geometry concerns geometric properties of sets of static points. M.J. Atallah introduced dynamic computational geometry, concerned with both…
Remarks on Fixed Point Assertions in Digital Topology, 10
Laurence Boxer
The topic of fixed points in digital metric spaces continues to draw publications with assertions that are incorrect, incorrectly proven, trivial, or incoherently stated. We contin…
Remarks on Fixed Point Assertions in Digital Topology, 9
Laurence Boxer
We continue a discussion of published assertions that are incorrect, incorrectly proven, or trivial, in the theory of fixed points in digital topology.
Irreducibility and Rigidity in Digital Images
Laurence Boxer
We study how the properties of irreducibility and rigidity in digital images interact with Cartesian products, wedges, and cold and freezing sets.
Remarks on Fixed Point Assertions in Digital Topology, 8
Laurence Boxer
This paper continues a series in which we study deficiencies in previously published works concerning fixed point assertions for digital images.