A note on pseudobounded paratopological groups
In this paper, the authors give a partial answer to the following question: If \(G\) is a totally \(\omega\)-pseudobounded premeager paratopological group, is \(G\) a topological group? Also, some examples of paratopological groups with interesting properties are given. For example, there exists a normal first-countable and pseudobounded paratopological group which is non-metrizable. Also, there exists a metrizable, zero-dimensional and pseudobounded topological group. Finally, the authors present a Hausdorff connected paratopological group which is not \(\omega\)-pseudobounded.
scientific article; zbMATH DE number 6381447