Remarks on fixed point assertions in digital topology, 2-Reference-Cited by-同舟云学术

Remarks on fixed point assertions in digital topology, 2

Published:2019-04-01 Issue:1 Volume:20 Page:155
ISSN:1989-4147
Container-title:Applied General Topology
language:
Short-container-title:Appl. Gen. Topol.

Author:

Boxer Laurence

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.

Publisher

Universitat Politecnica de Valencia

Subject

Geometry and Topology

Reference22 articles.

1. L. Boxer, A classical construction for the digital fundamental group, Journal of Mathematical Imaging and Vision 10 (1999), 51-62. https://doi.org/10.1023/A:1008370600456

2. L. Boxer, Generalized normal product adjacency in digital topology, Applied General Topology 18, no. 2 (2017), 401-427. https://doi.org/10.4995/agt.2017.7798

3. L. Boxer, Alternate product adjacencies in digital topology, Applied General Topology 19, no. 1 (2018), 21-53. https://doi.org/10.4995/agt.2018.7146

4. L. Boxer, O. Ege, I. Karaca, J. Lopez and J. Louwsma, Digital fixed points, approximate fixed points, and universal functions, Applied General Topology 17, no. 2 (2016), 159-172. https://doi.org/10.4995/agt.2016.4704

5. L. Boxer and P. C. Staecker, Remarks on fixed point assertions in digital topology, Applied General Topology, Applied General Topology 20, no. 1 (2019), https://doi.org/10.4995/agt.2019.10474

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