Abstract
Since every topological space is pre-T_(1/2) space, we aim to define a space that is weaker than pre-T_1 space; namely pre-T_(3/4) space, when we use the notions of regular open sets and preopen sets. We prove that a pre-T_(3/4) space is weaker than T_(3/4)-space, regular space and pre-R_0 space, additionally, we investigate the topological properties of pre-T_(3/4) space, as the hereditary property and their images by some paritcular functions; moreover we discuss the behavior of pre-T_(3/4) axiom in some special spaces as; submaximal spaces, regular spaces, extremelly disconnected spaces and hyperconnected spaces