Remarks on Fixed Point Assertions in Digital Topology

• Autores: Laurence Boxer, P. Christopher Staecker
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 20, Nº. 1, 2019, págs. 135-153
• Idioma: inglés
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• Resumen

  • 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 and homotopy invariant fixed point theory. We show that in many cases, researchers using these tools have derived conclusions that are incorrect or trivial.