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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We give examples to show how these methods can lead to the determination of minimal freezing sets.
📌 3 Key Takeaways
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Objective & Hypothesis:We continue the study of freezing sets for digital images introduced in [L.
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Key Findings & Data:Staecker, Fixed point sets in digital topology, 1, Applied General Topology 2020; L.
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Conclusion & Impact:We give examples to show how these methods can lead to the determination of minimal freezing sets.
🔬Design:Research Article
📍Scope:2020 Verileri
⚙️Variables:digital topology · fixed point · freezing set
Abstract
We continue the study of freezing sets for digital images introduced in [L. Boxer and P.C. Staecker, Fixed point sets in digital topology, 1, Applied General Topology 2020; L. Boxer, Fixed point sets in digital topology, 2, Applied General Topology 2020; L. Boxer, Convexity and Freezing Sets in Digital Topology, Applied General Topology, 2021]. We prove methods for obtaining freezing sets for digital images $(X,c_i)$ for $X \subset \mathbb{Z}^2$ and $i \in \{1,2\}$. We give examples to show how these methods can lead to the determination of minimal freezing sets.
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Cite This Article
Boxer, L. (2021). Subsets and freezing sets in the digital plane. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 4. https://doi.org/10.15672/hujms.827556