Remarks on topological spaces on Zn which are related to the Khalimsky n-dimensional space

Autor: Sang-Eon Han, Saeid Jafari, Jeong Min Kang, Sik Lee
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 1, Pp 1224-1240 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022072?viewType=HTML
Popis: The present paper intensively studies various properties of certain topologies on the set of integers $ {\mathbb Z} $ (resp. $ {\mathbb Z}^n $) which are either homeomorphic or not homeomorphic to the typical Khalimsky line topology (resp. $ n $-dimensional Khalimsky topology). This finding plays a crucial role in addressing some problems which remain open in the field of digital topology.
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