Hamant Kumar, Jogendra Kumar
1. V. A. Government Degree College, Atrauli-Aligarh, 2. Government Degree College, Raza Nagar Swar, Rampur 244924, U. P. (India)
Abstract
In the present paper, we introduce a weaker version of normal space called tamely normal. We will prove that tamely normal space is a property, which is implied by normal space. We prove that tamely normal space is a topological property and it is a hereditary property with respect to closed domain subspace. The relationships among normal, η*-normal, almost normal, quasi normal, mildly normal, -normal are investigated. Moreover, we obtain some characterizations of tamely normal spaces.
Keywords: η*-open sets; softly regular, η*-regular, almost-regular, η*-normal, -normal, quasi normal, mildly normal, tamely normal and softly normal spaces
Journal Name :
EPRA International Journal of Multidisciplinary Research (IJMR)

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Published on : 2025-12-30

Vol : 11
Issue : 12
Month : December
Year : 2025
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