English

Fixed Point Sets in Digital Topology, 2

Geometric Topology 2020-02-14 v3 General Topology

Abstract

We continue the work of [10], studying properties of digital images determined by fixed point invariants. We introduce pointed versions of invariants that were introduced in [10]. We introduce freezing sets and cold sets to show how the existence of a fixed point set for a continuous self-map restricts the map on the complement of the fixed point set.

Keywords

Cite

@article{arxiv.1904.00534,
  title  = {Fixed Point Sets in Digital Topology, 2},
  author = {Laurence Boxer},
  journal= {arXiv preprint arXiv:1904.00534},
  year   = {2020}
}
R2 v1 2026-06-23T08:24:42.454Z