Fixed point sets in digital topology, 2

Laurence Boxer

United States

Niagara University

Department of Computer and Information Sciences

Submitted: 2019-07-19

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Accepted: 2020-01-28

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Published: 2020-04-03

DOI: https://doi.org/10.4995/agt.2020.12101
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Keywords:

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

Supporting agencies:

This research was not funded

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.
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