p-open mappings between topological spaces are those preserving preopen sets. Restrictions of this type of mappings are considered. Preimages of semi-connected spaces and images of -closed spaces are investigated. Also, some observations concerning a.c.H. mappings are provided.
Key Words: Preopen, semi-open, semi-preopen sets; a.c.H., semi-continuous, almost open mappings; semi-connected, -closed spaces.