  Berestovskii and Plaut introduced the concept of a coverable uniform space
when developing their theory of generalized universal covering maps for uniform
spaces. Brodskiy, Dydak, LaBuz, and Mitra introduced the concept of a locally
uniformly joinable uniform space when developing their theory of generalized
uniform covering maps which was motivated by the work of Berestovskii and
Plaut. It is easy to see that a chain connected coverable uniform space is
locally uniformly joinable. This paper points out an error in the attempt in
Plaut's "An equivalent condition for a uniform space to be coverable" to prove
that a locally uniformly joinable chain connected uniform space is coverable.
