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Remarks on fixed point assertions in digital topology, 2

Laurence Boxer

2018 · DOI: 10.4995/agt.2019.10667
Applied General Topology · 18 Citations

TLDR

It is shown that in many cases, researchers using tools from classical topology have derived conclusions that are incorrect, trivial, or limited.

Abstract

Several recent papers in digital topology have sought to obtain fixed point results by mimicking the use of tools from classical topology, such as complete metric spaces. We show that in many cases, researchers using these tools have derived conclusions that are incorrect, trivial, or limited.