(1, 2)-QUASI ETA-NORMAL SPACES IN BITOPOLOGY

Abstract

In this paper, we introduce a new class of normal space called, (1, 2)^*-quasi h-normal space. The relationships among (1, 2)^*-normal, (1, 2)^*-quasi h-normal, mildly (1, 2)^*-normal, (1, 2)^*-quasi a-normal, (1, 2)^*-mildly a-normal, (1, 2)^*-a-normal and mildly (1, 2)^*-h-normal spaces are investigated. Moreover, we introduce some closed functions such as (1, 2)^∗-pgh-closed and almost (1, 2)^∗-pgh-closed. Utilizing (1, 2)^∗-pgh-closed sets and some functions, we obtain some characterizations and preservation theorems for (1, 2)^*-quasi h-normal spaces.