Cover semi-complete topological groups
by
Sivajah Somasundaram
University of Waikato
Coauthors: Dr. Warren Moors

A semitopological group (topological group) is a group endowed with a topology for which multiplication is separately continuous (multiplication is jointly continuous and inversion is continuous). In 1957 R. Ellis showed that each locally compact semitopological group is in fact a topological group. Much later in 1996, this was significantly improved upon by Bouziad when he showed that each Cech-complete semitopological group is a topological group. Recently Bouziad's result was improved by Kenderov, Kortezov and Moors to show that every strongly Baire semitopological group is a topological group. In this talk we show that to some extent the result in the paper by Kenderov, Kortezov and Moors is close to a characterization in the sense that any Baire topological group which has at least one q-point is strongly Baire.

Date received: October 11, 2000