[EN] Ferrando and Lüdkovsky proved that for a non-empty set $\Omega $\ and a normed space $X$, the normed space $c_{0}(\Omega ,X)$ is barrelled, ultrabornological, or unordered Baire-like if and only if $X$ is,
respectively, ...
Nickolas, Peter; Tkachenko, Mikhail(Universitat Politècnica de València, 2005-04-01)
[EN] A systematic analysis is made of the character of the free and free abelian topological groups on uniform spaces and on topological spaces. In the case of the free abelian topological group on a uniform space, expressions ...
Nickolas, Peter; Tkachenko, Mikhail(Universitat Politècnica de València, 2005-04-01)
[EN] A systematic analysis is made of the character of the free and free abelian topological groups on metrizable spaces and compact spaces, and on certain other closely related spaces. In the first case, it is shown that ...