On Sw -Topological Groups
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Abstract
This paper investigates the class of w-topological groups, which are determined by w-open sets and w-continuity. It is demonstrated that these groups are a generalization of topological groups and differ from several alternative concepts of semi-topological groups in the literature. These ideas are reinforced with counterexamples. We describe some fundamental results and uses of w-topological groups. Investigations are conducted into the similarities and differences with topological groups.
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