Note on the open mapping theorem
L. E. Brown · Pacific Journal of Mathematics · 1971
The open mapping and closed graph theorems are usually stated in terms of metrizable topological groups which are complete in a one-sided uniformity.It would be desirable to use only the weaker hypothesis of completeness in the two-sided uniformity.Important results of this sort are already known, and it is our purpose to strengthen those results by removing the separability hypotheses.