Open AccessRemarks on fixed point assertions in digital topology, 3
Author(s) -
Laurence Boxer
Publication year - 2019
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2019.11117
Subject(s) - triviality , mathematics , topology (electrical circuits) , point (geometry) , digital topology , work (physics) , fixed point , theoretical computer science , discrete mathematics , computer science , general topology , pure mathematics , extension topology , topological space , combinatorics , mathematical analysis , geometry , mechanical engineering , engineering
We continue the work of [5] and [3], in which are considered papers in the literature that discuss fixed point assertions in digital topology. We discuss published assertions that are incorrect or incorrectly proven; that are severely limited or reduce to triviality under "usual" conditions; or that we improve upon.