English

Cold and Freezing Sets in the Digital Plane

Geometric Topology 2022-02-28 v3

Abstract

Cold sets and freezing sets belong to the theory of (approximate) fixed points for continuous self-maps on digital images. We study some properties of cold sets for digital images in the digital plane, and we examine some relationships between cold sets and freezing sets.

Cite

@article{arxiv.2106.06018,
  title  = {Cold and Freezing Sets in the Digital Plane},
  author = {Laurence Boxer},
  journal= {arXiv preprint arXiv:2106.06018},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2005.09713 Author's response: please note that in several places I have stated that I am quoting or paraphrasing from other papers

R2 v1 2026-06-24T03:04:34.760Z