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Pourattar, Mehrnaz, Ayatollah Zadeh Shirazi, Fatemah, Mardanbrigi, Mohammad Reza. (1404). Closed graph property and Khalimsky spaces. سامانه مدیریت نشریات علمی, 6(1), 76-82. doi: 10.22098/jfga.2025.16485.1145
Mehrnaz Pourattar; Fatemah Ayatollah Zadeh Shirazi; Mohammad Reza Mardanbrigi. "Closed graph property and Khalimsky spaces". سامانه مدیریت نشریات علمی, 6, 1, 1404, 76-82. doi: 10.22098/jfga.2025.16485.1145
Pourattar, Mehrnaz, Ayatollah Zadeh Shirazi, Fatemah, Mardanbrigi, Mohammad Reza. (1404). 'Closed graph property and Khalimsky spaces', سامانه مدیریت نشریات علمی, 6(1), pp. 76-82. doi: 10.22098/jfga.2025.16485.1145
Pourattar, Mehrnaz, Ayatollah Zadeh Shirazi, Fatemah, Mardanbrigi, Mohammad Reza. Closed graph property and Khalimsky spaces. سامانه مدیریت نشریات علمی, 1404; 6(1): 76-82. doi: 10.22098/jfga.2025.16485.1145

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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