Al-Omari, Ahmad; Noiri, Takashi; Al-Saadi, Hanan \( ({{\Lambda_\pi},m})\)-closed sets and decompositions of \(m\)-continuity. (English) Zbl 1449.54020 Southeast Asian Bull. Math. 43, No. 5, 619-630 (2019). Summary: We introduce and investigate the notions of \( ({{\Lambda_\pi}, m})\)-closed sets and \(\pi gm\)-locally closed sets in a topological space \( ({X, \tau})\) with a minimal structure \({m_X}\) on \(X\). We obtain decompositions of \({m_X}\)-closed sets by combining these sets and \(\pi gm\)-closed sets. As the consequence, we obtain decompositions of \(m\)-continuity which is a unified form of generalizations of continuity. MSC: 54C08 Weak and generalized continuity 54C10 Special maps on topological spaces (open, closed, perfect, etc.) Keywords:\(\pi \)-open; \({\Lambda_\pi}\)-set; \( ({{\Lambda_\pi},m})\)-closed; \(\pi m\)-locally closed; \(\pi g\)-closed; \(m\)-closed; \(m\)-continuity PDFBibTeX XMLCite \textit{A. Al-Omari} et al., Southeast Asian Bull. Math. 43, No. 5, 619--630 (2019; Zbl 1449.54020)