Convexity and Freezing Sets in Digital Topology

2020/05/19 by Boxer, Laurence
#54H25 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2005.09713

Abstract

We continue the study of freezing sets in digital topology, introduced in [2]. We show how to find a minimal freezing set for a "thick" convex disk X in the digital plane Z². We give examples showing the significance of the assumption that X is convex.

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• Limiting Sets in Digital Topology
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• Freezing Sets for Arbitrary Digital Dimension