Bicompletion of Lowen fuzzy quasi-uniform spaces. (Q1429773)

The author sticks to the definition of Katsaras for \(I\)-fuzzy quasi-uniformities as a fuzzification of the entourage approach to quasi-uniformities by dropping the symmetry condition of Lowen's \(L\)-fuzzy uniformity (where \(L=I=[0,1])\). The construction of the bicompletion of \(I\)-fuzzy quasi-uniform spaces is done as a generalization of the completion of \(I\)-fuzzy uniform spaces introduced by Lowen. Denseness of the original space in its bicompletion and extension properties of quasi-uniformly continuous maps are studied.