Notions of β-closure compatible topology with an ideal
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In this paper, we have defined β-local closure function. Its properties and characterizations are analyzed. The set operator is defined and its properties are discussed. The notions of β-closure compatible topology with an ideal are introduced and investigated. Moreover, dense set and -codense ideal are defined and explored.
\( \beta \)-open set, \( \beta \)-local closure function, Topological characterizations of particular spaces, QA1-939, Topological spaces and generalizations (closure spaces, etc.), ideal, \( \beta_{\ast \ast} \)-codense ideal, Mathematics
\( \beta \)-open set, \( \beta \)-local closure function, Topological characterizations of particular spaces, QA1-939, Topological spaces and generalizations (closure spaces, etc.), ideal, \( \beta_{\ast \ast} \)-codense ideal, Mathematics
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