  The aim of this paper is to clarify the properties of semi-barrelled spaces
(also called countably quasi-barrelled spaces in the literature). These spaces
were studied by several authors, in particular in the classical book of N.
Bourbaki "Espaces vectoriels topologiques". However, six incorrect statements
can be found in this reference. In particular: a Hausdorff and quasi-complete
semi-barrelled space is complete, a semi-barrelled, semi-reflexive space is
complete, a locally convex hull of semi-barrelled semi-reflexive spaces is
semi-reflexive, a locally convex hull of semi-barrelled reflexive spaces is
reflexive. We show through counterexamples that these statements are false. To
conclude, we show how these false claims can be corrected and we collect some
properties of semi-barrelled spaces.
