Freezing Sets for Arbitrary Digital Dimension

The study of freezing sets is part of the theory of fixed points in digital topology. Most of the previous work on freezing sets is for digital images in the digital plane Z2 . In this paper, we show how to obtain freezing sets for digital images in Zn for arbitrary n, using the c1 and cn adjacencie...

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Bibliographic Details
Main Author: Boxer, L. (Author)
Format: Article
Language:English
Published: MDPI 2022
Subjects:
Online Access:View Fulltext in Publisher
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020 |a 22277390 (ISSN) 
245 1 0 |a Freezing Sets for Arbitrary Digital Dimension 
260 0 |b MDPI  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.3390/math10132291 
520 3 |a The study of freezing sets is part of the theory of fixed points in digital topology. Most of the previous work on freezing sets is for digital images in the digital plane Z2 . In this paper, we show how to obtain freezing sets for digital images in Zn for arbitrary n, using the c1 and cn adjacencies. © 2022 by the author. Licensee MDPI, Basel, Switzerland. 
650 0 4 |a adjacency 
650 0 4 |a digital image 
650 0 4 |a digitally continuous function 
650 0 4 |a freezing set 
700 1 |a Boxer, L.  |e author 
773 |t Mathematics