Noiri, Takashi; Popa, Valeriu A unified theory of closed functions. (English) Zbl 1119.54304 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 49(97), No. 4, 371-382 (2006). Summary: We obtain some characterizations and several properties of \(M\)-closed functions defined between sets satisfying some minimal conditions. The functions enable us to formulate a unified theory of modifications of closedness: \(\alpha\)-closedness, semi-closedness, preclosedness and \(\beta\)-closedness. Cited in 2 Documents MSC: 54A05 Topological spaces and generalizations (closure spaces, etc.) 54C10 Special maps on topological spaces (open, closed, perfect, etc.) Keywords:\(m\)-structure; \(m\)-open set; \(M\)-closed; closed; \(\alpha\)-closed; semi-closed; preclosed; \(\beta\)-closed; \(m\)-regular; \(m\)-normal PDF BibTeX XML Cite \textit{T. Noiri} and \textit{V. Popa}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 49(97), No. 4, 371--382 (2006; Zbl 1119.54304)