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 -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)∗-g-closed and almost (1, 2)∗-g-closed. Utilizing (1, 2)∗-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)∗-g-closed, almost (1, 2)∗-g-closed, (1, 2)∗-g-continuous, almost (1, 2)∗-g-continuous functions; (1, 2)*--normal, (1, 2)*-quasi -normal spaces.
Journal Name :
EPRA International Journal of Research & Development (IJRD)

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Published on : 2023-02-01

Vol : 8
Issue : 1
Month : January
Year : 2023
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