On decompositions of continuity in topological spaces
By using \(m\)-structures \(m_{1}, m_{2}\) on a topological space \((X, \tau)\), the authors define a set \(D(m_{1}, m_{2})=\{A: m_{1}\text{Int}(A) = m_{2}\text{Int}(A)\}\), where \(m_1\) and \(m_2\) are minimal structures on a nonempty set \(X\), and obtain many decompositions of open sets and weak forms of open sets. Thus the decompositions provide many decompositions of continuity and weak forms of continuity.
scientific article; zbMATH DE number 5848624
scientific article