Remarks on Fixed Point Assertions in Digital Topology, 9
Laurence Boxer
TL;DR
This paper critically examines and clarifies inaccuracies and trivialities in existing assertions related to fixed point theory within digital topology, aiming to improve the rigor and correctness of the field.
Contribution
It provides a detailed analysis of errors and trivial claims in fixed point assertions, offering corrections and clarifications to advance digital topology research.
Findings
Identified incorrect assertions in digital fixed point theory
Corrected proofs and clarified trivial claims
Enhanced rigor in digital topology literature
Abstract
We continue a discussion of published assertions that are incorrect, incorrectly proven, or trivial, in the theory of fixed points in digital topology.
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Taxonomy
TopicsDigital Image Processing Techniques · Computer Graphics and Visualization Techniques · Computational Geometry and Mesh Generation