Ge, Xun Notes on almost open mappings. (English) Zbl 1199.54076 Mat. Vesn. 60, No. 3, 181-186 (2008). A mapping \(f\) from a space \(X\) into a space \(Y\) is said to be almost open if for each \(y\in Y\) there is \(x\in f^{-1}(y)\) such that for each neighborhood \(U\) of \(x\), \(f(U)\) is a neighborhood of \(y\). Several properties and characterizations of almost open mappings and their relatives defined on metric and first countable spaces are given. Reviewer: Ljubiša Kočinac (Niš) Cited in 1 Document MSC: 54C05 Continuous maps 54C08 Weak and generalized continuity 54C10 Special maps on topological spaces (open, closed, perfect, etc.) Keywords:almost weak-open mapping; almost \(sn\)-open mapping; 1-sequence covering mapping × Cite Format Result Cite Review PDF Full Text: EuDML