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