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

Authors

Hamant Kumar
1. Department of Mathematics, Mathematics, Veerangana Avantibai Govt Degree College, Atrauli-Aligarh, U. P. (India)

Abstract

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

Keywords

(1, 2)*--open, (1, 2)*-g-closed sets; (1, 2)â??-g-closed, almost (1, 2)â??-g-closed, (1, 2)â??-g-continuous, almost (1, 2)â??-g-continuous functions; (1, 2)*--normal, (1, 2)*-quasi -normal spaces.

How to Cite:

Hamant Kumar , (1, 2)-QUASI ETA-NORMAL SPACES IN BITOPOLOGY , Volume 8 , Issue 1, january 2023, EPRA International Journal of Research & Development (IJRD),