Freezing Sets for Arbitrary Digital Dimension

Laurence Boxer
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Laurence Boxer: Department of Computer and Information Sciences, Niagara University, Lewiston, NY 14109, USA

Mathematics, 2022, vol. 10, issue 13, 1-7

Abstract: 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 Z 2 . In this paper, we show how to obtain freezing sets for digital images in Z n for arbitrary n , using the c 1 and c n adjacencies.

Keywords: digital image; adjacency; digitally continuous function; freezing set (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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