Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 21, No 1, (1995), 67p-74p
The aim of this paper is to continue the study of θ-irresolute and
quasi-irresolute functions as well as to give an example of a function which is
θ-irresolute but neither quasi-irresolute nor an R-map and thus give an answer to
a question posed by Ganster, Noiri and Reilly. We prove that RS-compactness is
preserved under open, quasi-irresolute surjections.