Abstract
A GTS (X, mu) is said to be weakly mu H-compact if for every-open cover {V-alpha, : alpha is an element of Delta} of X there exists a finite subset Delta(o) of Delta such that X \boolean OR{c(mu),(V alpha) : alpha is an element of Delta(o)} is an element of H. In this paper we study the effect of functions on weakly mu H-compact spaces. The main result is that the theta(mu, nu)-continuous image of a weakly mu H-compact space is weakly nu f(H)-compact.