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A note on paratopological groups. (English) Zbl 1150.54036
Summary: In this paper, it is proved that a first-countable paratopological group has a regular \(G_{\delta }\)-diagonal. If \(G\) is a symmetrizable paratopological group, then \(G\) is a developable space. We also discuss copies of \(S_\omega \) and of \(S_2\) in paratopological groups.

MSC:
54H13 Topological fields, rings, etc. (topological aspects)
54H99 Connections of general topology with other structures, applications
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