Our aim in this paper is to define more concepts that are related to primal topological space. We introduce new operators called $ \gamma $-diamond and $ \gamma^\ast $-diamond and explore their main characterizations. We provide results and examples regarding to these operators. Using these new operators, we create a weaker version of the original topology. Additionally, we present some results related to compatibility.
Citation: Ohud Alghamdi, Ahmad Al-Omari, Mesfer H. Alqahtani. Novel operators in the frame of primal topological spaces[J]. AIMS Mathematics, 2024, 9(9): 25792-25808. doi: 10.3934/math.20241260
Our aim in this paper is to define more concepts that are related to primal topological space. We introduce new operators called $ \gamma $-diamond and $ \gamma^\ast $-diamond and explore their main characterizations. We provide results and examples regarding to these operators. Using these new operators, we create a weaker version of the original topology. Additionally, we present some results related to compatibility.
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Ohud Alghamdi, Ahmad Al-Omari, Mesfer H. Alqahtani. Novel operators in the frame of primal topological spaces[J]. AIMS Mathematics, 2024, 9(9): 25792-25808. doi: 10.3934/math.20241260
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