Trimming and Building Freezing Sets

Fuente: arXiv
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Autor principal: Boxer, Laurence
Formato: Preprint
Publicado: 2023
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author Boxer, Laurence
author_facet Boxer, Laurence
contents We develop new tools for the construction of fixed point sets in digital topology. We define excludable points and show that these may be excluded from all freezing sets. We show that articulation points are excludable. We also present results concerning points that must belong to a freezing set and often are easily recognized. These include points of degree~1 and some local extrema.
format Preprint
id arxiv_https___arxiv_org_abs_2307_13864
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Trimming and Building Freezing Sets
Boxer, Laurence
Geometric Topology
Combinatorics
54H25
We develop new tools for the construction of fixed point sets in digital topology. We define excludable points and show that these may be excluded from all freezing sets. We show that articulation points are excludable. We also present results concerning points that must belong to a freezing set and often are easily recognized. These include points of degree~1 and some local extrema.
title Trimming and Building Freezing Sets
topic Geometric Topology
Combinatorics
54H25
url https://arxiv.org/abs/2307.13864