On precontinuous and weak precontinuous mappings. (English) Zbl 0571.54011

The notions of precontinuous, weak precontinuous, preopen and weak preopen mappings in topological spaces are introduced. Their connections with other existing concepts such as almost continuous in the sense of Hussain, almost continuous in the sense of Singal and almost open in the sense of Wilansky are investigated.


54C08 Weak and generalized continuity
54C10 Special maps on topological spaces (open, closed, perfect, etc.)