(1, 2)-QUASI ETA-NORMAL SPACES IN BITOPOLOGY
Hamant Kumar
Department of 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 ï¨-normal space. The relationships among (1, 2)*-normal, (1, 2)*-quasi ï¨-normal, mildly (1, 2)*-normal, (1, 2)*-quasi ï¡-normal, (1, 2)*-mildly ï¡-normal, (1, 2)*-ï¡-normal and mildly (1, 2)*-ï¨-normal spaces are investigated. Moreover, we introduce some closed functions such as (1, 2)∗-ï°gï¨-closed and almost (1, 2)∗-ï°gï¨-closed. Utilizing (1, 2)∗-ï°gï¨-closed sets and some functions, we obtain some characterizations and preservation theorems for (1, 2)*-quasi ï¨-normal spaces.
Keywords: (1, 2)*-ï¨-open, (1, 2)*-ï°gï¨-closed sets; (1, 2)∗-ï°gï¨-closed, almost (1, 2)∗-ï°gï¨-closed, (1, 2)∗-ï°gï¨-continuous, almost (1, 2)∗-ï°gï¨-continuous functions; (1, 2)*-ï¨-normal, (1, 2)*-quasi ï¨-normal spaces.
Journal Name :
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EPRA International Journal of Research & Development (IJRD)
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Published on : 2023-02-01
| Vol | : | 8 |
| Issue | : | 1 |
| Month | : | January |
| Year | : | 2023 |