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Abstract
In general topology, the concepts of separation axioms play an important role. The main goal of this paper is to present the study of weaker forms of separation axioms called spgwα-T1, spgwα-T2, spgwα-regular and spgwα-normal spaces using spgwα-open sets in topological spaces. Further, the properties spgwα-compact, spgwα-connected and spgwα-Lindelof spaces have been defined and studied their basic characterizations in topological spaces.
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