Closed graph property and Khalimsky spaces

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Pourattar Mehrnaz; Ayatollah Zadeh Shirazi Fatemah; Mardanbeigi Mohammad Reza

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Journal Paper

Paper Information

Journal: JOURNAL OF FINSLER GEOMETRY AND ITS APPLICATIONS Year:2025 | Volume:6 | Issue:1 Page(s): 76-82

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Information Journal Paper

Title

Closed graph property and Khalimsky spaces

Author(s)

Pourattar Mehrnaz | Ayatollah Zadeh Shirazi Fatemah | Mardanbeigi Mohammad Reza | Issue Writer Certificate

Keywords

Alexandroff space

Closed graph

Digital topology

Khalimsky spaces

Abstract

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.

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