Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 4

Subsets and freezing sets in the digital plane

Sayfa
991–1001
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We give examples to show how these methods can lead to the determination of minimal freezing sets.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We continue the study of freezing sets for digital images introduced in [L.
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Temel Bulgular & Veri:Staecker, Fixed point sets in digital topology, 1, Applied General Topology 2020; L.
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Sonuç & Katkı:We give examples to show how these methods can lead to the determination of minimal freezing sets.
🔬Tür:Araştırma Makalesi
📍Kapsam:2020 Verileri
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Boxer, L. (2022). Subsets and freezing sets in the digital plane. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 4, 991–1001. https://ajindex.com/articles/529447

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Kaynakça (9)

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  2. L. Boxer, Fixed point sets in digital topology, 2, Appl. Gen. Topol. 21 (1), 111-133, 2020
  3. L. Boxer, Convexity and Freezing Sets in Digital Topology, Appl. Gen. Topol. 22 (1), 121-137, 2021
  4. L. Boxer and P.C. Staecker, Fixed point sets in digital topology, 1, Appl. Gen. Topol. 21 (1), 87-110, 2020
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