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Demonstrates topological isomorphisms in semitopological and paratopological groups, implying significant structural insights.
We show that, given a semitopological group G, the semitopological groups Ti (G∙) and (Ti(G))· , for each i ∈ {0,1,2} , and (Gsr)· and (G·)sr, are topologically isomorphic. Moreover, we prove that, given a paratopological group G, the paratopological groups Reg(G·) and (Reg(G))· are topologically isomorphic.
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Boris Reyes (2026) studied this question.
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