Some Separation Axioms in Topological Spaces

2025/07/09 by Tomar, Neeraj Kumar, Sharma, M. C., Ujlayan, Amit +1
#54A05 #54C08 #54C10 #54D15 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.2507.06843

Abstract

In this paper, we introduced the concepts of new separation axioms called SC^* -separation axioms and H^* -separation axioms by using SC^* and H^* -open sets in topological spaces. The SC^* -separation axioms include SC^* - C₀ , SC^* - C₁ , weakly SC^* - C₀ , and weakly SC^* - C₁ spaces, while the H^* -separation axioms include H^* - T_(1)/(2) , H^* - T_b , and H^* - T_d spaces. Also, we obtained several properties of such spaces.

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