Fixed point sets in digital topology, 2

Laurence Boxer


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.


digital topology; digital image; fixed point; reducible image; retract; wedge; tree

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1. Convexity and freezing sets in digital topology
Laurence Boxer
Applied General Topology  vol: 22  issue: 1  first page: 121  year: 2021  
doi: 10.4995/agt.2021.14185

Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147