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Closed graph property and Khalimsky spaces | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 6، شماره 1، 2025، صفحه 76-82 اصل مقاله (306.74 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2025.16485.1145 | ||
| نویسندگان | ||
| Mehrnaz Pourattar1؛ Fatemah Ayatollah Zadeh Shirazi* 2؛ Mohammad Reza Mardanbrigi1 | ||
| 1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
| 2Faculty of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran | ||
| چکیده | ||
| In the following text for Khalimsky n-dimensional space Kn we show self-map f:Kn →Kn has closed graph if and only if there exist integers λ1,...,λn such that f is a constant map with value (2λ1,...,2λn). We also show each self--map on Khalimsky circle and Khalimsky sphere which has closed graph is a constant map. The text is motivated by examples. | ||
| کلیدواژهها | ||
| Alexandroff space؛ Closed graph؛ Digital topology؛ Khalimsky spaces | ||
| مراجع | ||
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