Volume 20 No 6 (2022)
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EXPLORING WEAKER FORMS OF NORMAL SPACES IN TOPOLOGICAL SPACES: A THEORETICAL STUDY
Ratna Bhaskar,Pooja Kumari,Dr. Sudhanshu Shekhar,Dr. Umesh Sharma
Abstract
This paper explores weaker forms of normal spaces within the framework of topological
spaces, focusing on their theoretical foundations and interrelationships with classical normality. By
examining concepts such as almost normal, subnormal, countably normal, and weakly normal spaces,
this study highlights how these variants diverge from and extend the classical definition. Key results
include characterizations of these weaker forms, counterexamples demonstrating their distinctions,
and insights into their implications in broader mathematical and applied contexts. This work
contributes to a deeper understanding of separation axioms and fosters further exploration of
topology's rich structure.
Keywords
Weak Normal Spaces, Almost Normal Spaces, Subnormal Spaces, Countably Normal Spaces, Topological Properties, Separation Axioms, Theoretical Topology.
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