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Remarks on Fixed Point Assertions in Digital Topology (1806.06110v2)
Published 15 Jun 2018 in math.GN and math.GT
Abstract: Several 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 and homotopy invariant fixed point theory. We show that in many cases, researchers using these tools have derived conclusions that are incorrect or trivial.