No non-discrete Alexandroff topology makes a topological group, but Alexandroff paratopological groups exist and solve open problems about products and squares of feebly bounded sets.
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On the existence and properties of Alexandroff paratopological groups
No non-discrete Alexandroff topology makes a topological group, but Alexandroff paratopological groups exist and solve open problems about products and squares of feebly bounded sets.